The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  2  1  1  1  2  0  0  1  1  2  2
 0  2  0  2  0  8  6  2  4  6 12 10  6 14 12 12  6  0  4 14  2  8 12 14 10 14  2  2  2  4  4 14
 0  0  2  2 12 14  6  4 12  8  6 14 12  2  0 14  0  6  4 12 12 14  6  6  8 10  6  8 10  4  2  0
 0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  8  8  8  0  0  0  8  0  8  8  0  0  8  0  0  0  0
 0  0  0  0  8  8  0  0  0  8  8  0  8  0  8  0  0  8  0  0  0  8  8  0  8  8  0  0  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+267x^28+80x^29+792x^30+432x^31+1081x^32+432x^33+616x^34+80x^35+239x^36+64x^38+9x^40+2x^44+1x^48

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 0.959 seconds.