The generator matrix

 1  1  1  1  1  1  1  1  2  0  1  1  2  0  1  1  2  1  1  1  1  2  1  1
 0  2  0  6  0  6  0  6  2  2  4  6  6  2  0  6  6  6  0  0  0  4  6  0
 0  0  4  0  0  0  0  0  0  0  4  4  0  4  0  4  0  4  0  0  4  4  0  0
 0  0  0  4  0  0  0  0  0  0  0  4  4  0  4  4  0  0  0  4  0  0  4  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  4
 0  0  0  0  0  4  0  0  0  0  0  0  4  4  0  4  4  4  0  4  0  4  0  0
 0  0  0  0  0  0  4  0  0  4  4  0  0  4  4  0  4  4  4  4  0  4  4  0
 0  0  0  0  0  0  0  4  0  4  0  4  4  4  0  0  4  0  4  4  0  0  4  4
 0  0  0  0  0  0  0  0  4  4  0  0  4  4  0  4  0  4  4  0  4  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+33x^16+34x^17+74x^18+72x^19+101x^20+288x^21+433x^22+632x^23+746x^24+612x^25+461x^26+312x^27+118x^28+80x^29+46x^30+8x^31+20x^32+10x^33+8x^34+5x^36+1x^38+1x^42

The gray image is a code over GF(2) with n=96, k=12 and d=32.
This code was found by Heurico 1.16 in 0.204 seconds.