The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  4  1  1  1  1  8  2  0  1  1  2  1  0  1  2  1  1
 0  2  0  6  4 14 12  2  0  6 12 10 14  2  2  2 12 14  2  8  2  6  2 14  8 14  0  2  2  6  8  8
 0  0 12  0  4  4  0  4  0  8  0  0 12  4  4 12 12 12 12 12 12  8  8 12 12 12  4  8 12  0  4 12
 0  0  0  8  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  8  8  8  0  0  0  0  0  0  8  8
 0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  8  0  8  0  8  0  0  0  0  0  0  8  0  0  0  8  0
 0  0  0  0  0  8  0  8  0  0  0  8  8  8  0  0  0  8  8  8  0  8  0  0  8  0  8  8  0  8  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  8  8  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+99x^26+56x^27+330x^28+472x^29+970x^30+1520x^31+1347x^32+1520x^33+950x^34+472x^35+276x^36+56x^37+76x^38+28x^40+15x^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 0.622 seconds.