The generator matrix

 1  0  0  1  1  1  2  1  1  1  1  0  6  4  1  2  1  2  2  1  1  1  1  1
 0  1  0  1  0  3  1  0  2  1  3  1  1  2  6  1  0  1  1  3  5  4  1  0
 0  0  1  1  1  0  1  2  3  3  0  2  1  1  0  3  3  1  2  7  0  6  6  0
 0  0  0  2  0  6  0  2  2  0  2  6  4  6  6  6  6  6  6  2  4  2  4  2
 0  0  0  0  2  0  0  0  0  6  6  4  6  6  6  0  2  2  2  2  4  6  2  2
 0  0  0  0  0  4  0  0  4  4  4  0  4  4  0  4  0  4  4  0  4  4  0  4
 0  0  0  0  0  0  4  0  4  0  0  4  4  4  0  0  4  4  4  0  0  0  4  4
 0  0  0  0  0  0  0  4  4  4  0  0  4  0  4  4  0  4  0  4  0  4  4  4

generates a code of length 24 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+101x^16+240x^17+602x^18+1198x^19+2660x^20+4850x^21+7549x^22+10074x^23+10882x^24+10082x^25+7660x^26+4934x^27+2652x^28+1190x^29+554x^30+174x^31+80x^32+22x^33+18x^34+4x^35+8x^36+1x^38

The gray image is a code over GF(2) with n=96, k=16 and d=32.
This code was found by Heurico 1.16 in 27.2 seconds.