Jelly, 1321 1256 + 3716 = 4972 bytes

⁾+-ẋ€Ɱ14ZY€U0¦j“¡sḍuḅhọ¹]ÆÄȦcM^ḷʂṀṃƬɲ½ṚƓṁṅñọḄṄ°tṪĠæẏıY+oJƤTỊ!Ṅyżẋ½ḣĖƝƲƈDṠ=€ḂÇ°ỵPƁD,İœfwṀŻḄjṬzY÷ṗẉḢŒEịḷ4ḥA⁾⁵¶Ɱė⁾⁽Ṅiƙƥạ⁺Ṡḣ®C(ÄỴṪO¦;¦pƈ⁷.ṂỵÄƓṄḞɗʋ,Þỵ*.ạȮæ.ɓNẏȧ¿ḋ£ƭפĿ#ɼœ)G¬ṇæịẈṭOỵɼ⁼þḃṂZ⁹ṬƥZGȯṂṃU⁷5ƒfXʋḢT]6¶6ŒO.vḳÐẏOɱ`øFḍV8MỌỊvḷDỤ¢ʋƇ"o*UøTṆ`K_ṃɼ5ẹPḂ]oÞÄ(ƥḄzḶɗ⁻İẏ#UọrṢż¹Ɗ²iȷ)ḃQṆ"3ɦa⁻ġVṇSẒḌɗS⁶Ṣ€ɓH:Ȧ⁸"¬6Ƈm:⁷ɗV7⁷ṄHCvXGċaṁhøḞVṁ)ṗƝʂṪḷƙẎṪ⁾eṁṇẋ¡Ƭ@©ȷȯVṅṃ=ı¶Xl=ḢṛOİUẈṾœ7¶AƘ°ʂWỵƁṛ%ʂḂðṇƭỤƊẏ(ƒȯKpe²ʠⱮ5ɦẋḢßFḂḍXɱḤḟİỴlṅḟøṃUnƇUrF1ÑƓṣçṣŀḲS{#øḍƝRḟƝɱọ5CẇṪF°ṘċÞ>ḣḶṘṭ7ƬṅṙµƁ⁺TƝṖėẠ,⁷ɗ;Ɠ}İŀɱ©ʠƭɗĠ¢¤Ñ©ɓ½k£ḅÄḄÑbʠ⁴Ɗ¡2TḤṚd⁵QẉµḋzḊȯ|]÷"MZ'¤B¢(Ʋb(⁵׌ƘṚd-ȯṁ°ƁṣịŒƑƭ8ṁ²ßƇẆɓẉḢḋṅẓ_Ɲ6ƝṣẈẈF(.¿ṃƓƓµ}ĖĖḌ ßÆnṛḣ"ç×ṚXE@ẉYTṂðĠ⁻żġỴpẈḋ6ṁŒḢṬRWçƥmSⱮdṢṄ`¢¬⁴œṖỤƈDFʋẠ*Ƥ?xḍṾ[ịpyḣqlQJƘdḟ€ẹȧBiɼÄ4⁵ḋ°1*]µŻƒhṃ¿°¢çsĖÆ-Ḥƒ.ḍ~²ĊSÇị=ñ*ḃƝṇ⁽Ŀ"AḍZṀıbʠḣŒyị⁵ĖḲ-Ƙ)(v⁺ƈ[ƙẈ#⁶Ġv%OtƝ⁻}Ɗ8{ƒƊ(¡ÑÆ@R+Ḍ<⁾ọṗẓ⁴a§⁷®;hG~ȧṛḤƁḅṫE$z{ḋḟKṆh½ạ@ḲYÇh6⁵ẊƈLW÷ẇịlpÄoṃƬ°- <Ñ€HœẆ⁸ƓṂọþ¶1}ḳn9ịḥ¤NjṛzOu¤Ỵ;©LNYçĠḍ[q'CḊẎḊ1wḅ⁾j¦Ịñ£0ṆR@GẊỌ(fS&ḂẈḷẊzṇṪġċZ¦ñạ@ẹ`Ðġtu½JṀȯIȧHfƁ3\µ[k¹ɦ +ɠṅL÷ĿĠ¢¶d¤⁴SḄ,Þ®ç¶ƲK=ŻẊ0¬r'\ṙ*"v>>ọøȷ©¢Ụ~}°ÑñŻȥ-ŒæSḢ2yƈṙỊṡ^Ḣ¹Ḷ&J4AṂÑỴ¹*MḊþṖ⁵ȤZpEƬDḋƥQ¬dṢẠNtḤỵ0CṣtŒ²ı⁺~3q/ẸItɱɱṚ_ṣ¢œ U@×ɲẹȥĖẸEoṣȯĠvḍḲƇṀuȧẉqÇ!Ġ¤ʂ£)`ƊbṖ-ȥȷ?ƒƥð{ha¬ỴḢÄ}ṭʂṬẉẇ⁼Þ`ġĿṂ⁺Ị⁹ẊṄ,ıḞɓĖĿ9>Ṁȥ*¿AƤ{Æ@@VḌVŀẇpHȥHOʋ ⁷Ɲ⁽$ÐBŻhʋ⁼Ƭs/i+jṛƈɲ7&ƇƤṬJ^ḲÞÐɲȮƤÑwḌ€>¶ḳcMQwḋd?JɗKImĊƬœaẆ¿ʂẏṠO#ȦUĿṙọ_ʠƇṠḅẋ⁽ṇ©ẆvMGȦZµgßÇ£g1£Ƭ3nʠŻƝXhWṁṬɦlị⁺pÐd+ı+sṚÆŒṇ*¡Ẹ¢Ỵɗ^UI³ß7Øb}U€ȥỤḲ×7!ṪKḍ(ṙ=²3ıṅ0żɗƑɓṚœɼ’ṃ“+><-]¶[”¤⁷ 

Try it online!

(description needs updating - 14 leading and trailing programs not in the compression)

Just compression of current bests on esolangs. There is probably a way to evaluate a subset of BF programs such that they will terminate and yield the shortest solutions that'd beat this naive program. There may well also be a way to beat this by a smarter pattern-based or factorisation-building program.

“ ... ’ṃ“+[><-]¶ - Link: no arguments “ ... ’ - a really big number compressed as base 250 “+[><-]¶ - list of characters ['+','[','>','<','-',']','\n'] ṃ - base decompress i.e. use those as the base 7 digits [1,2,3,4,5,6,0] 

Jelly, 1224 + 3716 = 4940 bytes

⁾+-ẋ€Ɱ14ZY€U0¦j“6VⱮ×ė7¬(Ị¢ẋṀⱮM⁵Ѭkbvœ⁸½ẋƓ0⁽ṖçḟŻßɓẉḷ0Ƙ¥@ⱮZĊⱮ{ṫṇØ"ỵðẓ⁵!ḳqḄƬiỴƥṇØm@ɗẆḅƥƲ⁴ŀ-5¦€ÑɓZĖ/gPṄḌ!ẹ$ḞıƒĿỵ⁷£Q.%¦ẊiUı-M⁹ƈxṁ,CsḲtÆƇỴṄĿiæEṛⱮẒʠþƘ%ƘƙṾ ('ȥ€½⁵ḥ+,þ@ẇ&ạV|ĊuAYḃfṖƘLƥQtPƬivxHj)Ṇɓ5JṘØẓæĿøɗjḥrñþa®OṅḍṪ¥=ɼġċṫßṬỌƈrUẉçŻ½\=]€ʂ_ⱮṖ¥Ƥȥ6SṡÆcạdn;ṅⱮDɦ⁹ṢAy)~Ḷ`ẒẓMTİṂḋ|ẉ]Wɠ¿⁾Ṣ|ḷ6hẸƒⱮQ1ẏƝC@Ŀ!ʠ⁽ṃ@ƓŒQ3@ƝḊñçcZ\¥3Z¤~çD>ċọuⱮȦAẈⱮ%L3Æ¢ḞtĖė!ƇtñṪɓẓ¥Fṅ⁵shB'wṪẸ¦ṄÞṭ³ʂḶƊ³iȧṂRœŒƤ\r1Çwi6ŀỵɼḃa⁵Ṣ_Q⁸Ẹ'{|\+Æ®|ḤcʂÑ/Ɓz¶ɦÄ!ʂ"Ẋ ẓĠĠ⁷⁵QƝ¶%ṙƇḋ[^j&W×*°ḳçʂSżḊⱮ⁻IȦṄXȥlẋḅ7;⁺ḃİÞÆðLX¢1K£€Ä&X½VȮ(;Q£ḞḢ¹zG+ṅ¹LḥW³ḅd@^ẊḶJ¹T8ṛ($ȧṢzq,Ṫ⁻ȥ{Ṛ"Ḍ®Ä8QḋþɼȮhỵB"Ḍ⁶ȧZ⁵ẒNɓḃȧ¶Ƒð$Ẇ/"Eṭ*I:ØḃL}<KȦ+ṣ¥x&Ṇ£Œṫḋġ0lİḍ¿H£(ỌƝ×^Ḃ°⁽⁼UƭĠḥkQð7ṫƤżȷƘxjƑRḣqƒ$HƬ7ḳ-JµnṇṣðXŻİẉbSu×]bṾ0ƊHßçQh⁸°ƒɦSCñ_⁾ʂC⁼Ġø⁵SAʋƊİ¡⁴ÄḋẸḶwȧZẈĠ7rṀẏẉṖa¤ɱELƝȧẈṣṄk]d⁹øṇÞṡ.ạtƥṢḅ⁺ṂLpÑƘṄṡḍ⁵,Ǥ$Ọ8ṛuṚvAṖÑ1!vƤD3߶ʂа]EÞUĠ€ḋḲ⁸¬r`YḊ0ṙ5ċmṅȯ*ɲU÷pƭẉṭȦB¹ɦSNɱ)]ĠṾʋ³Øḟ23ṭð#ẆuẎṬṫVɠ(ỊỊQɼF}ịƒ$Ẏ_Ṡ'ḳOLc?ṾŀẊẎṆ⁵p"VẏAȮ⁴ⱮȦ®e®Ɱi"ÇJẊ4ñḍḲY]ḌḌẓ⁺ƙ"iṄḅoLṙfOS&}HGɼĖİĠḷuḃ³ṡıḳỊẹzq⁶ƈ£ċHZɱ.#⁶ḟUṗŀȮṘḶḲ]@¶+ḊĖ8ĖṆɗçŻŀ®ṭẇƓḄḷıM@⁷²36ɲṗ¡ḂḊ'Ṿ⁵ėƙṘ-⁺µʠṡṂ[_¤ḥṢ]ṘÐḤ½ḟ4ȷ}E¹Ṙb⁹ḅḢ¹hƬZ§Ẏẹ÷Æ$ḅoĖẉ⁹ịJ.ȥḊẋʋṄȯ1<ẎṄḲṛœ"æ)ḥ8)ḤlñA⁾%⁶LỴ⁶M4Ṙ\`ỵƊȥŀƒ⁷ḌƬƙḳƑ⁴vʂ⁻ðQpñḷḳṄœ>ṪỴƭƙɓ3[&Ḅzḅ<⁾µİṪȧ⁹C>ẹ{ẈÐlC&j?LṆṛ⁽æȤið<⁽$Ḋ7⁻FṡḅɓɱḂJoPŻẆṃṛḂ¹ẓð[1eƘ2T⁶ḟɼ7P~©ṚṙE8RƒṬẹLœẇẸịøḷ*⁾²ÄƓy€VƈɱNSẏẓѶpƲḞḅX⁹ọaœ<aỴTĠ^ðƑṙẊḅOḥŀG4ị¤ÑėÐịʠɗ=YṚċẋĠżẉịṪṁtḳṪ{ṬṃıızD/ĊvȤpḣðСþfÞ⁶ỵỊµṅḷÄ÷Vẇ\Ạ$-§OẠn^ȯfẎlḊd⁶ni¥ẓɱn¶’ṃ“¶><-][+”¤⁷ 

A full program.

Try it online!

Almost entirely compression of current bests on esolangs which leave only a single non-zero, with trailing tape moves removed. There is probably a way to evaluate a subset of BF programs such that they will terminate and yield the shortest solutions that'd beat this naive program. There may well also be a way to beat this by a smarter pattern-based or factorisation-building program.

⁾+-ẋ€Ɱ14ZY€U0¦j“ ... ’ṃ“¶><-][+”¤⁷ - Link: no arguments ⁾+- - list of characters ['+','-'] € - for each: ẋ - repeat Ɱ14 - mapped across [1..14] Z - transpose Y€ - join each with newline characters U0¦ - reverse the rightmost - (now we have ["+\n++\n+++\n ...","... \n---\n--\n-"] ¤ - nilad followed by link(s) as a nilad:  “ ... ’  -  a really big number compressed as base 250  “¶><-][+”  -  list of characters ['\n','>','<','-',']','[','+']   ṃ  -   decompress - use as base 7 digits [1,2,3,4,5,6,0] j - join (the list ["+\n++...","...--\n-"]) with that - implicit print ⁷ - a newline character - implicit print 

Jelly, 1321 1256 + 3716 = 4972 bytes

“¤hċṀƒƒQɗƑƘṘ!XİXʠKƒLṪ⁽YṢ$ȤṆ,ṙ€Kȯr ḣ⁷\T!ẹ¤8þỵṅȥC½çṪ^½55ŻgƑ½0Kb;ḄH"ṬṙẠẋ|ż'EA¿\Ṁj⁽<ỤƥnịṢṣẒƭḊ¬&ẇK⁸Ẏ¿FƲŻŒþȮ+ĿÆxþʠxẇ8ṛṚç£Ṙ£+ṁVỊDỴḂØȧȥؤÑR¤ḍcDẒƭṁ*Ʋı¬0wṫṣĖqṂ⁾ḲṭLẉịzGṁ¿ẸJ8ḃ¢żɗ⁾ḷẎĠwḋȥỊ'Ƭ{grƘṪṇY`ṆnƁɱ¶⁴D`œAkVɱḄẒuƝ^ÑKL⁺Ḥ$RṅẠẈ7ȤcƘȮ4¡&Ẋ\c¶ėƇÇṇỴẏ£Ṡ6ƥⱮʂẒX$4⁸ßẆỤẸ¿ṂqZỌ½ŀŀƲƬṀ[þɦẇHɼTṘḋqß#JṅẈḥ©*ḤYḅ⁶ȧȧNjñ]QL]ƭu¶|ĊeFuñ?BRfṆɲ|ʂw¥ḊỤʋṭḊwḥƊZ⁸ĠĖ{|ẹß÷4!ṇ9ẆṬzʠ⁸ıɲr¤bwỵ]6pnyṗṠẒḲØƑ|ƥ9KḄ@¶ṅvt Oƈ~*ƁṠ,¿'Ọɦ$ṣḟ8ⱮÐẎRK@}Hx@ẏẒḟȷ*^H_Ġ~q{ṛpḲ×q9ḅ0Ỵṭọ⁵)ọ!<¢L<c)½7Ạ~{@⁸Xẹỵc[ċḋðẎr.ḍƬ"fu2Ỵẏ×<ṃŻɦF7Ġḳ;ɲ)ŀ'{Ẋṇʋƒ/£WḶpḂZ⁺ɱCtⱮẒðẒṗÞƑ£ṢḅKO¬ȧIƝ-ỴȥTñAgȥ0wlV⁹2ȷÐOĖ$JÄ⁻@^$ŀƲ£^+þ>Ạʂṃȷ|\V⁽1ØŒ⁼Ƈ#ıḣu<ʂĿ¶Ɱm5Ẓw⁴}ÐẈ³ṪʠọƁ~ŀ×h÷ɠṫɼṂ⁼hsⱮ{UẎⱮo½ɲ¦WẈñLDȷɲŒxṄh).pƙRuqXẈ1¥⁴ &ḷḟịkṙṠ¶ɼĊỵ¥⁼Ḃẹ¿Ȥ1ṃbƁV$ɓḃ⁻ṙƝʠḶbẎ<¹.ẹeṭṘIṁṚ®⁹Ñ_¢xqỤṆḢø⁾TÞẒœqṄ⁺gSƘAIƊẈmƁ¶¶ṄœḢyẒẉ°Ñ¤ẸL½"½ẇ⁴{1ṣỌ⁼Œ©:R\ɦẸ`ḢėṇuġDɦṭḲṢ)Ḥɗ"Ẉ⁴PɓẠȷḞWẎq@¢>ṖBṇ[ỵI⁹ẈḶẸ⁵ė⁴aµ©Ʋ*¬⁻ɱEẉ¬ĖzĖỤṚḍėRØẎṠ¢ḌẈżuDḷ*3¡ṡTQḂzḅP¬g,ġ,⁻sPA(vḅi<ịŻɓ×Ẏµ<ƥɱṾ"8ṣ£ḶßȯẋɓỤÇ*7ẆḶɼḣỌL4c~ẎỌṚ0⁷'ṆƁdḅñh%-qẠɓẇ9ƊiŀÇḳW~Ñɼẹ(§Ẏḋ^Ṫ&}@⁺½ L°Ø!⁽Ṇ®ạƊĿṠċṆỌḌrḃ5Gṣ@ż&~)ạƭṆ_Ƈẹɠ"ƊAṘḟ ɼÇ`L⁻<ỌỴKẋȧ{¤GḋṃɱƤṪ©BṗßẈẉịlẋhiƈ&z×+rRɓỵ!ß°çþmƤ¦ȷ⁶ỴœvȮD@⁻µç⁶$ȧȮⱮOṗOuḤ?µṢȮċẠġɦl(ḟ®ḢAḥ⁺#ċė⁹'[¿ÑJṅæƥ+ÐA`ḤæṫAYXb<ƈ4ĖEġ8tIṢAoḟėẋẹ¤ḋṆ'ṃ%FÆĊæ_PƤ|DġSḟCBẏ⁵\ṛ,Ȧƭɼġ½Ẏ³€ʂ$ḃ⁴.ḍ⁽ḋṙṬḅlvZßȧkʠḍ)Fg⁸]Ṣ¡⁵Ṫ)⁷dƒṇAÄġ@ıV2Ṙ0}ḶmLw$|GṣẈjṃ¦ƲṢÇr¬ỤƝỊ<ọuṾȯ2[]wdswqƭ⁶Ñ|ỵsƑȯ$Ṭ_ȥ]bhƭƭmʠẆØOṚD>z¥Kḅ×OL|ɱgĊœ¹³ḍ²ẏU0ỴṁzṾ×ḋ>ØḂṁṖY!Ạæ0ƑŀẸɓ(ḳṖʋN⁺\!F^Ɓ8ṫ*ċDẓḢ4GɠJ€n¥ȷṘ¢²Äf^NĿȦ¿=ẈṠPcĠẸOỴɗġɗ[Ż⁸ÑṂGt€İ⁹ṃ'ṡŒƇẸḲḞ9ȷ1⁺ṫỴx:Ƥ°ßJD5ñƒ#⁸"¬qh€øė8h%ḂɲṾṙrƤƲẊmj<ʋḥ’ṃ“+[><-]¶ 

Try it online!

How?

(description needs updating - 14 leading and trailing programs not in the compression)

Just compression of current bests on esolangs. There is probably a way to evaluate a subset of BF programs such that they will terminate and yield the shortest solutions that'd beat this naive program. There may well also be a way to beat this by a smarter pattern-based or factorisation-building program.

“ ... ’ṃ“+[><-]¶ - Link: no arguments “ ... ’ - a really big number compressed as base 250 “+[><-]¶ - list of characters ['+','[','>','<','-',']','\n'] ṃ - base decompress i.e. use those as the base 7 digits [1,2,3,4,5,6,0] 

Jelly, 1321 1256 + 3716 = 4972 bytes

⁾+-ẋ€Ɱ14ZY€U0¦j“¡sḍuḅhọ¹]ÆÄȦcM^ḷʂṀṃƬɲ½ṚƓṁṅñọḄṄ°tṪĠæẏıY+oJƤTỊ!Ṅyżẋ½ḣĖƝƲƈDṠ=€ḂÇ°ỵPƁD,İœfwṀŻḄjṬzY÷ṗẉḢŒEịḷ4ḥA⁾⁵¶Ɱė⁾⁽Ṅiƙƥạ⁺Ṡḣ®C(ÄỴṪO¦;¦pƈ⁷.ṂỵÄƓṄḞɗʋ,Þỵ*.ạȮæ.ɓNẏȧ¿ḋ£ƭפĿ#ɼœ)G¬ṇæịẈṭOỵɼ⁼þḃṂZ⁹ṬƥZGȯṂṃU⁷5ƒfXʋḢT]6¶6ŒO.vḳÐẏOɱ`øFḍV8MỌỊvḷDỤ¢ʋƇ"o*UøTṆ`K_ṃɼ5ẹPḂ]oÞÄ(ƥḄzḶɗ⁻İẏ#UọrṢż¹Ɗ²iȷ)ḃQṆ"3ɦa⁻ġVṇSẒḌɗS⁶Ṣ€ɓH:Ȧ⁸"¬6Ƈm:⁷ɗV7⁷ṄHCvXGċaṁhøḞVṁ)ṗƝʂṪḷƙẎṪ⁾eṁṇẋ¡Ƭ@©ȷȯVṅṃ=ı¶Xl=ḢṛOİUẈṾœ7¶AƘ°ʂWỵƁṛ%ʂḂðṇƭỤƊẏ(ƒȯKpe²ʠⱮ5ɦẋḢßFḂḍXɱḤḟİỴlṅḟøṃUnƇUrF1ÑƓṣçṣŀḲS{#øḍƝRḟƝɱọ5CẇṪF°ṘċÞ>ḣḶṘṭ7ƬṅṙµƁ⁺TƝṖėẠ,⁷ɗ;Ɠ}İŀɱ©ʠƭɗĠ¢¤Ñ©ɓ½k£ḅÄḄÑbʠ⁴Ɗ¡2TḤṚd⁵QẉµḋzḊȯ|]÷"MZ'¤B¢(Ʋb(⁵׌ƘṚd-ȯṁ°ƁṣịŒƑƭ8ṁ²ßƇẆɓẉḢḋṅẓ_Ɲ6ƝṣẈẈF(.¿ṃƓƓµ}ĖĖḌ ßÆnṛḣ"ç×ṚXE@ẉYTṂðĠ⁻żġỴpẈḋ6ṁŒḢṬRWçƥmSⱮdṢṄ`¢¬⁴œṖỤƈDFʋẠ*Ƥ?xḍṾ[ịpyḣqlQJƘdḟ€ẹȧBiɼÄ4⁵ḋ°1*]µŻƒhṃ¿°¢çsĖÆ-Ḥƒ.ḍ~²ĊSÇị=ñ*ḃƝṇ⁽Ŀ"AḍZṀıbʠḣŒyị⁵ĖḲ-Ƙ)(v⁺ƈ[ƙẈ#⁶Ġv%OtƝ⁻}Ɗ8{ƒƊ(¡ÑÆ@R+Ḍ<⁾ọṗẓ⁴a§⁷®;hG~ȧṛḤƁḅṫE$z{ḋḟKṆh½ạ@ḲYÇh6⁵ẊƈLW÷ẇịlpÄoṃƬ°- <Ñ€HœẆ⁸ƓṂọþ¶1}ḳn9ịḥ¤NjṛzOu¤Ỵ;©LNYçĠḍ[q'CḊẎḊ1wḅ⁾j¦Ịñ£0ṆR@GẊỌ(fS&ḂẈḷẊzṇṪġċZ¦ñạ@ẹ`Ðġtu½JṀȯIȧHfƁ3\µ[k¹ɦ +ɠṅL÷ĿĠ¢¶d¤⁴SḄ,Þ®ç¶ƲK=ŻẊ0¬r'\ṙ*"v>>ọøȷ©¢Ụ~}°ÑñŻȥ-ŒæSḢ2yƈṙỊṡ^Ḣ¹Ḷ&J4AṂÑỴ¹*MḊþṖ⁵ȤZpEƬDḋƥQ¬dṢẠNtḤỵ0CṣtŒ²ı⁺~3q/ẸItɱɱṚ_ṣ¢œ U@×ɲẹȥĖẸEoṣȯĠvḍḲƇṀuȧẉqÇ!Ġ¤ʂ£)`ƊbṖ-ȥȷ?ƒƥð{ha¬ỴḢÄ}ṭʂṬẉẇ⁼Þ`ġĿṂ⁺Ị⁹ẊṄ,ıḞɓĖĿ9>Ṁȥ*¿AƤ{Æ@@VḌVŀẇpHȥHOʋ ⁷Ɲ⁽$ÐBŻhʋ⁼Ƭs/i+jṛƈɲ7&ƇƤṬJ^ḲÞÐɲȮƤÑwḌ€>¶ḳcMQwḋd?JɗKImĊƬœaẆ¿ʂẏṠO#ȦUĿṙọ_ʠƇṠḅẋ⁽ṇ©ẆvMGȦZµgßÇ£g1£Ƭ3nʠŻƝXhWṁṬɦlị⁺pÐd+ı+sṚÆŒṇ*¡Ẹ¢Ỵɗ^UI³ß7Øb}U€ȥỤḲ×7!ṪKḍ(ṙ=²3ıṅ0żɗƑɓṚœɼ’ṃ“+><-]¶[”¤⁷ 

Try it online!

How?

(description needs updating - 14 leading and trailing programs not in the compression)

Just compression of current bests on esolangs. There is probably a way to evaluate a subset of BF programs such that they will terminate and yield the shortest solutions that'd beat this naive program. There may well also be a way to beat this by a smarter pattern-based or factorisation-building program.

“ ... ’ṃ“+[><-]¶ - Link: no arguments “ ... ’ - a really big number compressed as base 250 “+[><-]¶ - list of characters ['+','[','>','<','-',']','\n'] ṃ - base decompress i.e. use those as the base 7 digits [1,2,3,4,5,6,0]