22. StupidStacklanguage, 27 available bytes
abaacdaiiiiiiiqmiiiiiiiqqqqfffffeghjklmnopqrstuvwxyz This prints 88888.
This uses abcdefghijklmnopqrstuvwxyz (Printable ascii alphabets and space) from the previous answer.
The next answer must use the following bytes which are palindromes in base 2:
!-3?AIU]ckw¥½ÃÛçÿ
[33,45,51,63,65,73,85,93,99,107,119,127,165,189,195,219,231,255]
[0x21,0x2d,0x33,0x3f,0x41,0x49,0x55,0x5d,0x63,0x6b,0x77,0x7f,0xa5,0xbd,0xc3,0xdb,0xe7,0xff]
How it works:
ab pushes a 0 and pops it.
aacd pushes two 0's and subtracts them and decrements the result.
aiiiiiii pushes a 0 and adds 7 to it.
qm squares it.
iiiiiii adds 7 to that.
qqqq duplicates it 4 times.
fffff then displays that as printable ascii.
e takes in input. Since there is no input, the program errors and ends execution, and the rest of the program does nothing.