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  1  1  8  1  1  1  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  0  6 12 10  8 14  4 10  0  6 12  6 14 10  8 12  4  0  8  0
 0  0  8  0  0  0  0  8  0  8  8  0  8  8  8  8  8  8  8  0  8  0  0  8  0  8  8  0  8  8  8  0
 0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  0  0  0  8  0  8  0  0  0  8  8  8  8  8  0  0  0
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  8  8  0  0  0  8  8  0  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+26x^28+60x^29+31x^30+404x^31+27x^32+388x^33+16x^34+12x^35+10x^36+32x^37+16x^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 0.0247 seconds.