The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^32+276x^33+742x^34+900x^35+1572x^36+1362x^37+1421x^38+712x^39+646x^40+276x^41+100x^42+48x^43+37x^44+6x^45+9x^46+4x^47+1x^48+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 0.517 seconds.