The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  1 12  4  2  2  2 12 12  1  1  1  8  1  1
 0  2  0  0  0  2  6 14  8  8 14  2  6  4  8 10  8  2  6  4 12  6 10  0 12  2 10  6 12  2  4  8
 0  0  2  0  2  2 10  0 12 14  8 14  2 12  6 10 12  8  4  2  2  6  0 14  4  0  4  4  4  8  4  0
 0  0  0  2  2  8 10  2  4  0 14  2  8  2  2 12  2  4  0  4 14  2 14  2  2 12 10  4  6  6 12  4
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  0  0  8  8  0  8  8  0  0  0  0  8  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+29x^26+414x^27+602x^28+1324x^29+1678x^30+2596x^31+3091x^32+2678x^33+1728x^34+1318x^35+436x^36+312x^37+82x^38+56x^39+28x^40+6x^41+3x^42+2x^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 1.96 seconds.