The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  1  1  1  4  1  0  1  2  1  2  2  2  2  1
 0 12  0 12  0 12  0 12  8  4  0 12 12  0 12  8 12 12 12 12  4 12  4  4  0 12  0 12 12 12  0  0
 0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  8  8  8  0  8  0  0
 0  0  0  8  0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  8  0  8  0  8  8  8  0  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  0  8  8  8  0  0  0  8  8  8  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  8  8  8  0  0  0  0  8  0  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  0  8  0  8  8  8  0  0  0  8  8  0  0  8  0  8  0  0  0  0  8  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  8  8  0  0  0  8  0  8  8  0  8  8  0  8  8  8  8  0

generates a code of length 32 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+28x^24+18x^25+55x^26+46x^27+118x^28+82x^29+331x^30+1134x^31+495x^32+1126x^33+314x^34+90x^35+104x^36+54x^37+50x^38+10x^39+20x^40+15x^42+2x^44+3x^46

The gray image is a code over GF(2) with n=256, k=12 and d=96.
This code was found by Heurico 1.16 in 0.188 seconds.