The generator matrix

 1  0  0  1  1  1  8  1 14  6  0  1  1  1  1  0  1  6 14  1  1  1  1 12  4  1  1 10  6  1 10  1  1  1  1  4  1
 0  1  0  0  5 11  1 10  8  1  1  4  5  1  2  1 12  1  1 15  2  4  7 14  4 14  7  1  1  2  1 14  6  1 12  0  0
 0  0  1  1  1  4  1  9  1 11 14 10  6  5  1 14  6  7  2 10  3  4  1  1  1  8  3 12  5  0  9  2 11  1 13  0  6
 0  0  0  2 10  8  6  2 14 12 10  6  6  4  0 12  4  2  0 10 12 14  4  6  2  4  2 14 12  6  0  6  8  4  0  2  8

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

Homogenous weight enumerator: w(x)=1x^0+443x^32+1240x^33+2618x^34+3720x^35+5421x^36+6000x^37+5538x^38+3744x^39+2293x^40+1064x^41+502x^42+88x^43+63x^44+16x^45+14x^46+3x^48

The gray image is a code over GF(2) with n=296, k=15 and d=128.
This code was found by Heurico 1.16 in 6.11 seconds.