The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+221x^26+528x^27+1849x^28+4120x^29+7689x^30+11096x^31+14261x^32+11504x^33+7857x^34+3968x^35+1606x^36+504x^37+255x^38+24x^39+38x^40+10x^42+5x^44

The gray image is a code over GF(2) with n=256, k=16 and d=104.
This code was found by Heurico 1.16 in 15.6 seconds.