The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  1  1  0  6  1  1  1  1  0  6  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  3  5  1  1 12 10 15  5  1  1  0  6 12  4 14  3  8  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  8  0  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  8  0  0  8  8  0  8  0  8  0  0  8  8  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+64x^29+155x^30+240x^31+102x^32+240x^33+156x^34+64x^35+1x^46+1x^48

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 0.0158 seconds.