The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^29+363x^30+430x^31+392x^32+268x^33+239x^34+118x^35+45x^36+32x^37+14x^38+8x^39+2x^40

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 0.047 seconds.