The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^26+184x^27+452x^28+1178x^29+1867x^30+2640x^31+3422x^32+2982x^33+1925x^34+1016x^35+399x^36+150x^37+41x^38+32x^39+13x^40+10x^41+12x^42+1x^44

The gray image is a code over GF(2) with n=256, k=14 and d=104.
This code was found by Heurico 1.16 in 1.45 seconds.