The generator matrix

 1  0  1  1  1  6  1 12  1  1 14  1  8  1  1  1  2  1  1  4  1 10  4  1  1  1  1  1  1  1  1  1
 0  1 11  6 13  1 12  1  3  5  1 10  1  7  8 14  1 15  9  1  1  1  1  6  4  2  6  3  0 12 14  0
 0  0 12  0  4  0  0  8  0  8  4  0  4  4  4 12  4  8  8 12  4  0 12  8  4  4  0  0  8  0  4  0
 0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  0  8  0  8  0  8  0  0  0  8  0  8  0  8  8  0  0
 0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  0  8  8  0  8  0  8  0  0  8  0  8  0  0  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  0  8  0  8  8  0  0  0  0  8  0  8  0  0  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+26x^26+60x^27+200x^28+476x^29+1250x^30+1024x^31+2187x^32+992x^33+1250x^34+436x^35+162x^36+68x^37+24x^38+16x^39+8x^40+8x^42+2x^44+2x^46

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 0.345 seconds.