Mathematica 146 92 chars (score 2130/92 = 23.15)
Shorter Version (92 chars)
This palindrome has the characters grouped,
""<>{s=({#[[1]],Length@#~Quotient~2}&/@ Gather@Characters@t) /.{c_,n_}:>c~Table~{n},Reverse@s}
Longer Version (146 chars)
This will return a maximum length, randomized palindrome from t. Because capital letters are equivalent to lowercase letters, I converted all capitals to lower case. (This can be changed if necessary.)
f@t_ := "" <> Join[s = RandomSample[ Flatten[({#[[1]], Quotient[Length[#], 2]} & /@ Gather[Characters@ToLowerCase@t]) /. {c_, n_} :> ConstantArray[c, n]]], Reverse@s]
Example:
When t is the suggested, Lorem ipsum, text. (Ignore line returns; all line returns were generated via the SE editor.)
"ti,iopexri rpiuu opaat tismimetnesa lvuot oiaiu oaaittcoar nc muapua elhpibemu utin ia f ihide sdourgeeic e oaasa.marsae dstircd ci ndn rs t egoaiq.aeatntreusng xi a lumalnoiieqqeq cc otiueasniieu nrpupdlmnai o cdsm t gt.iccmittli i t tu.rust.li maui bea gqiceeo pncu eonttecvtutqun eaaariusoquppsedlqu scrddmt esiafidurs hitlpna nlamltire ivmumbabi nbuderup td x uuualsoq.eiib li olel ru aeelau
idbc lrop iil ssur anda o scnmsr ,m uri,teo esmiaveuomrt ldqqaid ihi snsr spueeoevcre oe msirulaleaisormm.oicolarsstteo td aatncn ieqrsuam boid te utcf eccp siacu m etnqutlacniiereltiulqemltaqx a qtdlxmliibileoheesimittlusqemooamuiippeaiilcgudsatfsiemamsc irn rsgoi, ie nmteiaiiptraned alsomsui noru ic,mditi ic ouud oadmv iudinrfuludet eeiidueel nndaemcrepnioe sials unetuamconn,i ubpo eiu ei dsn equi,ue ostmp udiatqu dalmau nueeiit ln e mioancteop ntiiao ts noeefubtefrit ldeop earnmsm oas
d.catirotulvliodiellmesurotiomsmduia.nauenb iuiroimduriohs.lrndsaroc t inidrssq apeuionnlaa eqdroounosmotidr arxr o taouarut ussce uamae is.dcadaimuoaprad iifl i lmml i lfii darpaoumiadacd.si eamau ecssu turauoat o rxra rditomsonuoordqe aalnnoiuepa qssrdini t corasdnrl.shoirudmioriui bneuan.aiudmsmoitorusemlleidoilvlutoritac.d
sao msmnrae poedl tirfetbufeeon st oaiitn poetcnaoim e nl tiieeun uamlad uqtaidu pmtso eu,iuqe nsd ie uie opbu i,nnocmautenu slais eoinpercmeadnn leeudiiee tedulufrnidui vmdao duuo ci itidm,ci uron iusmosla denartpiiaietmn ei ,iogsr nri csmameisftasdugcliiaeppiiumaoomeqsulttimiseehoelibiilmxldtq a xqatlmeqluitlereiincaltuqnte m ucais pcce fctu et diob mausrqei ncntaa dt oettssralocio.mmrosiaelalurism eo ercveoeeups rsns ihi diaqqdl trmouevaimse oet,iru m, rsmncs o adna russ lii porl cbdi ualeea ur lelo il biie.qoslauuu x dt puredubn ibabmumvi eritlmaln anpltih srudifaise tmddrcs uqldesppuqosuiraaae nuqtutvcettnoe ucnp oeeciqg aeb iuam il.tsur.ut t i ilttimcci.tg t msdc o ianmldpuprn ueiinsaeuito cc qeqqeiionlamul a ix gnsuertntaea.qiaoge t sr ndn ic dcritsd easram.asaao e cieegruods edihi f ai nitu umebiphle aupaum cn raocttiaao uiaio touvl asentemimsit taapo uuipr irxepoi,it"
Length of palindrome/Length of code? \$\endgroup\$