The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^29+142x^30+282x^31+221x^32+80x^33+120x^34+92x^35+18x^36+8x^38+2x^42+2x^47

The gray image is a code over GF(2) with n=256, k=10 and d=116.
This code was found by Heurico 1.16 in 0.016 seconds.