The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+218x^26+438x^27+1122x^28+2220x^29+3977x^30+5534x^31+5740x^32+5598x^33+4036x^34+2174x^35+1068x^36+352x^37+177x^38+58x^39+37x^40+6x^41+8x^42+4x^43

The gray image is a code over GF(2) with n=256, k=15 and d=104.
This code was found by Heurico 1.16 in 6.01 seconds.