The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^26+200x^27+350x^28+1032x^29+1799x^30+3182x^31+3296x^32+3070x^33+1817x^34+1006x^35+301x^36+174x^37+45x^38+26x^39+19x^40+10x^41+4x^42+2x^43+1x^44+2x^45

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 1.49 seconds.