The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^32+676x^33+1175x^34+2216x^35+2568x^36+3158x^37+2562x^38+2082x^39+929x^40+634x^41+191x^42+52x^43+26x^44+10x^45+8x^46+2x^47+2x^48+2x^49

The gray image is a code over GF(2) with n=296, k=14 and d=128.
This code was found by Heurico 1.16 in 1.41 seconds.