The generator matrix

 1  0  1  1  1 14  1  1 12  1  6  1  1  1 10  1  1  8  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 11  6  5  1 13 12  1  6  1  7 10  1  1  8  3  1  8  4 14  2  8  2  0 14 12 13  5  0  3  3
 0  0 12  0  0  8  0  8  8  4  4 12  4  8  4  8  8  0  4 12  4 12 12  8  8  4  4 12  4  8  8  4
 0  0  0 12  8 12  4  0  0  4  4  8 12  4 12 12  8 12  0  8  0  8  4  8  0 12 12  8  8  8  0 12

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

Homogenous weight enumerator: w(x)=1x^0+125x^28+224x^29+568x^30+800x^31+693x^32+800x^33+536x^34+224x^35+97x^36+16x^38+10x^40+1x^44+1x^52

The gray image is a code over GF(2) with n=256, k=12 and d=112.
This code was found by Heurico 1.16 in 0.126 seconds.