The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  2  1  2  2  2  1  1  1 12  2  1
 0  2  0  2  8  0 10  2  4  6  4  6 12  4 14  6  2  0 14  8 10  4  4 10 14 14 12  8  0  2  6  4
 0  0  2  2  4  6  6  4  4 14  2  8  8 14  2  4  8  8  4 14  2  2  6  6 12  0  2  0 10 14  6  8

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

Homogenous weight enumerator: w(x)=1x^0+68x^29+146x^30+218x^31+239x^32+158x^33+104x^34+46x^35+16x^36+14x^37+4x^38+8x^39+1x^42+1x^50

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 0.018 seconds.