The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  1 12 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  5  1  1  9  6  9  3 15  9  3  3 11 15  9  3  1  0
 0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  0  0  8  0  8  0  8  8  8  0  0  0  8  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  0  0  0  0  0  8  8  0  8  8  0  8  0  0  8  0  8  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  0  8  8  0  8  0  8  0  0  8  8  8  0  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  0  0  0  8  0  8  0  8  8  8  0  0  0  0  8  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+79x^32+84x^33+261x^34+608x^35+566x^36+920x^37+556x^38+608x^39+241x^40+84x^41+77x^42+6x^44+2x^48+1x^50+1x^56+1x^58

The gray image is a code over GF(2) with n=296, k=12 and d=128.
This code was found by Heurico 1.16 in 0.121 seconds.