The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^28+24x^29+27x^30+192x^31+527x^32+144x^33+16x^34+12x^36+24x^37+20x^38+1x^62

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 0.0283 seconds.