The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1
 0 12  0  0  0  0  0  0  0  0  8  4  4 12  8  4  0 12 12  8 12 12 12 12  0  4  0  4  4  0  4  8  4  8  8  8  8
 0  0 12  0  0  0  4 12  4  8 12  4 12  0  8  8 12  4  8  0 12 12  0  4  0 12 12  4  8 12  8 12  0  0  0  8 12
 0  0  0 12  0  4  4  4  8  8  0  0 12  8  4  4  4  8  8  0  4  4 12  4  4  0 12  0 12  0 12  4  8  4  4 12  0
 0  0  0  0 12  4  8  4  4  0  4  0  4  4 12  0  0  4  8  4 12  8 12  8  0 12  4  0 12  8  8  4  4  0  8  0  4
 0  0  0  0  0  8  8  0  0  8  8  8  0  0  0  8  0  8  8  8  8  0  0  8  8  0  8  0  8  8  0  0  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+587x^32+512x^34+451x^36+5120x^37+384x^38+676x^40+384x^42+60x^44+16x^48+1x^68

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 41 seconds.