The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  2  1  0  1  1  2  1  1  1 12  2  0  2  1  1  1  1  1  2  1  1
 0  2  0  6  4 14 12  2  0  6 12 10  8  2  2 14 14 14  2  0 12  6 14  8 12  2 10  2  2  2  6 10  2  4  6  8  6
 0  0 12  0  4  4  8  4  0  8  0  8  4  4 12 12  4  0  8  0  4  0  4  4  8  8  8  8 12  4  0 12  4 12  8  0 12
 0  0  0  8  0  0  8  0  0  8  0  0  8  0  0  0  8  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  0  0  0  8  0
 0  0  0  0  8  0  0  8  8  8  0  8  0  0  0  8  8  8  0  8  0  0  8  0  8  8  0  8  0  8  0  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  0  0  8  8  8  0  0  0  8  8  8  8  8  0  0  8  8  0  0  0  0  8  0  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+120x^32+96x^33+350x^34+416x^35+715x^36+768x^37+666x^38+416x^39+341x^40+96x^41+66x^42+28x^44+6x^46+9x^48+1x^52+1x^56

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 0.303 seconds.