The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^26+204x^27+288x^28+588x^29+1005x^30+1224x^31+1443x^32+1330x^33+901x^34+582x^35+284x^36+128x^37+63x^38+36x^39+28x^40+2x^41+5x^42+2x^43+4x^44

The gray image is a code over GF(2) with n=256, k=13 and d=104.
This code was found by Heurico 1.16 in 0.568 seconds.