The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+149x^32+160x^33+260x^34+128x^35+1153x^36+448x^37+1080x^38+128x^39+325x^40+160x^41+68x^42+22x^44+12x^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 0.872 seconds.