The generator matrix

 1  0  1  1  1 14  2  1  1 12  1  1  1  1  6  1  1  8  1  1  1  1  8  6  2  1  1  8  1  1  4  2
 0  1 11  6 13  1  1 12  7  1 14  5  2  9  1  8  3  1  8  6  3 13  1  1  8 15 15  2  4 14 12  6
 0  0 12  0  4  4 12  0  4  0 12  8  4  8  0 12  8 12  4  0  8 12  4  0  4  0  8 12 12  4  4  4
 0  0  0  8  0  8  0  0  8  8  8  0  8  8  0  0  8  0  0  8  0  8  8  8  8  8  0  0  8  0  8  8
 0  0  0  0  8  8  0  8  0  8  0  8  8  8  8  8  0  8  0  8  0  8  0  0  0  8  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+160x^28+280x^29+600x^30+656x^31+833x^32+576x^33+544x^34+240x^35+142x^36+40x^37+8x^38+6x^40+10x^44

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 0.14 seconds.