The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+218x^29+241x^30+434x^31+310x^32+436x^33+182x^34+164x^35+31x^36+18x^37+1x^38+10x^39+1x^40+1x^44

The gray image is a code over GF(2) with n=256, k=11 and d=116.
This code was found by Heurico 1.16 in 3.15 seconds.