The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+45x^32+174x^33+303x^34+462x^35+726x^36+832x^37+642x^38+400x^39+242x^40+138x^41+63x^42+34x^43+17x^44+8x^45+8x^46+1x^60

The gray image is a code over GF(2) with n=296, k=12 and d=128.
This code was found by Heurico 1.16 in 0.177 seconds.