The generator matrix

 1  0  0  1  1  1 10  2  1  1  1  2  8  1  1  1 10 14  1  1  6 12  1  1  1  1  4  8  1  1  0  1
 0  1  0  8  5 13  1  1 14 12 15  4  1 11  4  3 14  1 10  2  1  1 14 15  0  9 14  1 13 12  1  4
 0  0  1 11  3  8 15  2  4  5  7  1  5 10  2  1  1  0  9  2  1  6 15  8  4  2  1  4  1 11 15  4

generates a code of length 32 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+212x^29+974x^30+528x^31+1012x^32+292x^33+692x^34+188x^35+114x^36+56x^37+22x^38+4x^39+1x^40

The gray image is a code over GF(2) with n=256, k=12 and d=116.
This code was found by Heurico 1.16 in 0.1 seconds.