The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^25+116x^26+314x^27+546x^28+2154x^29+3472x^30+6668x^31+6085x^32+6690x^33+3480x^34+2172x^35+522x^36+294x^37+84x^38+60x^39+10x^40+8x^41+12x^42+2x^43+4x^44+4x^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 5.9 seconds.