The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  2  2  2
 0  2  0  6  4 14 12  2  6  0  8 10 12  6 12  2  0  4  6 12 10  8  6  4 10  8 10  4 14 12  6 14
 0  0 12  0 12  4  0 12  8  8  4  4  4 12  8  8  0  4 12  8 12  8  4  0  0  4  4 12  0 12  0  4
 0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  0  8  0  8  0  0  8  8  0  8  8  0  0  0  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+96x^29+49x^30+176x^31+412x^32+160x^33+46x^34+64x^35+2x^36+1x^38+16x^39+1x^56

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 0.0325 seconds.