The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  8  8  1  1  2  0  1  1  4  2  1  1  2  2  1  1  4  0  1
 0  2  0  6  4  6 12  2  8  0  6  6 14  2  2  4  4  6  2  2  4  2  2  8 14 14  6  8 14  8  2  2
 0  0 12  0  4  0  0  0  8  4  4 12 12  8  4  4  8 12  0  0  8  0  4  4 12  0 12  4  4  4 12  4
 0  0  0 12  0  0  8 12 12 12 12  8  0  4  8  0  4 12  0 12  0  4  8  8  0 12  4  0  8  8  4  8
 0  0  0  0  8  0  8  8  0  0  8  0  8  8  8  0  8  8  8  8  8  8  0  8  8  0  8  8  8  8  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  8  0  0  8  8  8  0  8  8  8  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+50x^26+170x^27+292x^28+596x^29+859x^30+1612x^31+1227x^32+1440x^33+819x^34+620x^35+252x^36+132x^37+57x^38+28x^39+20x^40+8x^41+7x^42+2x^43

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 0.603 seconds.