The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^28+128x^29+218x^30+448x^31+327x^32+464x^33+156x^34+96x^35+65x^36+16x^37+26x^38+11x^40+1x^48

The gray image is a code over GF(2) with n=256, k=11 and d=112.
This code was found by Heurico 1.16 in 0.0586 seconds.