The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  2  2  2  0  8  4  1  2  1  8  0  2  2 12  1  1
 0  2  0  0  0  2 14  2 12 10  2  0  8 14 12  2 10  4  2 12  2 12  4 10  2  8  2 12  2  4 12  8
 0  0  2  0  2  2 10  8  0 14  2 12  2  8 14  4 14  6 10  2  2  2  4  8 14  8  8 10 10  2 14  8
 0  0  0  2  2  8  2  6  2  4 10  8 10 14  8  8 14  6  4  4  2 14  0 10  8  2 10 12  8 12 14  0
 0  0  0  0  4  0  4 12  4  4  8 12  0  0  4  8  0  4 12  0  4  8  4  4 12 12  8  4  8  4  4  8

generates a code of length 32 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+58x^25+294x^26+636x^27+1252x^28+2358x^29+3708x^30+5252x^31+5415x^32+5712x^33+3688x^34+2238x^35+1152x^36+526x^37+340x^38+96x^39+16x^40+18x^41+2x^42+2x^43+4x^44

The gray image is a code over GF(2) with n=256, k=15 and d=100.
This code was found by Heurico 1.16 in 7.2 seconds.