The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  1  1  2  4  2  1  4  1  1  1  1  2
 0 12  0  0  0  4 12  4  8 12  8  0  0  4  4  4  4  8  8  0  8 12 12 12  0 12  4 12  0  0  8  4
 0  0 12  0  4  4  4  8  0  4  8  4 12  4  8  0  0 12  0  0 12  0  8  4 12  4  0 12  8 12  4  0
 0  0  0 12  4  0  4  4  8  0 12  4  8  4  0  4  4 12  4 12  8 12  0  4  0  4 12  4  8  4 12  4
 0  0  0  0  8  0  0  8  8  8  0  0  0  8  8  0  8  8  0  8  8  0  0  0  8  8  0  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  8  0  8  8  0  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+92x^26+225x^28+104x^29+469x^30+672x^31+1015x^32+656x^33+483x^34+96x^35+143x^36+8x^37+99x^38+23x^40+9x^42+1x^48

The gray image is a code over GF(2) with n=256, k=12 and d=104.
This code was found by Heurico 1.16 in 0.275 seconds.