The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+57x^28+8x^29+66x^30+56x^31+674x^32+56x^33+46x^34+8x^35+27x^36+14x^38+8x^40+2x^42+1x^56

The gray image is a code over GF(2) with n=256, k=10 and d=112.
This code was found by Heurico 1.16 in 0.0278 seconds.