The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  2  0  2  1  2  1  1  4  1  2  2  1  1  1  1  1  1
 0  2  0  2  0  0  6 14  4  4 10  6 12  2  6 10  0 14 12  4 12  6  2 10  2  6 10  4 14  6  4  0
 0  0  2  2 12  6  6  4  4  2  6  0  8  0 10  6  2  4  4  2  6  0 10 12  2  8 10  2 10 12  0  0
 0  0  0  8  0  0  8  0  0  0  8  8  8  0  0  8  8  8  8  0  8  0  8  8  0  0  8  8  0  8  8  0
 0  0  0  0  8  0  8  0  8  8  0  0  0  0  8  8  8  0  8  0  8  8  8  8  8  8  8  0  0  0  8  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  8  0  8  0  8  0  0  0  8  0  8  8  0  0  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+43x^26+148x^27+331x^28+500x^29+923x^30+1124x^31+2065x^32+1196x^33+907x^34+492x^35+237x^36+92x^37+69x^38+28x^39+21x^40+4x^41+10x^42+1x^48

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 0.473 seconds.