The generator matrix

 1  0  1  1  1 12  1  1  2  1  6  1  1  1  1  1  4  1 12  8  1  1  1 10 12  2  1  1 14  1  1  1
 0  1  1 12 11  1  2  5  1  6  1  7  3 13  3  0  1  4  1  1  2 14 15  1  1  2 10  2  1 11  6  0
 0  0  2  6  4  6  2  0 10  0  8  2  0  4  6 14  2  4  0  2 12  2  0  6  8  2  8 10 12  2 14  0
 0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  8  0  8  8  8  8  0  0  8  0  0  0  0  0  8  0  0
 0  0  0  0  8  0  0  8  0  8  8  8  8  0  8  8  0  0  0  8  0  8  0  8  0  8  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  8  0  0  0  8  0  0  8  8  8  0  0  8  8  8  0
 0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  8  0  0  8  8  0  0  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+28x^25+156x^26+264x^27+909x^28+1806x^29+4146x^30+4872x^31+8545x^32+4742x^33+4144x^34+1800x^35+880x^36+266x^37+124x^38+40x^39+30x^40+6x^41+4x^42+3x^44+2x^46

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 4.77 seconds.