The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^32+278x^33+478x^34+1208x^35+1242x^36+1674x^37+1237x^38+1180x^39+443x^40+242x^41+69x^42+8x^43+9x^44+14x^45+7x^46+4x^47+8x^48+1x^50+1x^52

The gray image is a code over GF(2) with n=296, k=13 and d=128.
This code was found by Heurico 1.16 in 0.483 seconds.