The generator matrix

 1  0  0  0  1  1  1  1  8  1  8 10  1  1  6  6 12  1  1  1 12  1  1  1  1  1  1  1  1  1  4  1
 0  1  0  0  0  8  5 15  1 11  1  6  7 14  1  1  1  8  5  6  4 10 15  3  1  2 13 13  3 12  1  0
 0  0  1  0  1 14  4  2  2  3  5  1  5 15 15  8  4  8 10 11  1  5  9 14 11  6  4  7 11  1 14  4
 0  0  0  1  1  3  7 10  3  9  2  5  2  0  5  4 15 15  4  1  9  4 11 11  7  6 13 10 12 10 10  4
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  0  8  8  8  0  0  0  0  8  0  8  0  0  0  8  0  8

generates a code of length 32 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+219x^26+1360x^27+3820x^28+7942x^29+15812x^30+22918x^31+26921x^32+22660x^33+16332x^34+8124x^35+3370x^36+1134x^37+320x^38+110x^39+14x^40+8x^41+5x^42+2x^44

The gray image is a code over GF(2) with n=256, k=17 and d=104.
This code was found by Heurico 1.16 in 60.5 seconds.