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

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

Homogenous weight enumerator: w(x)=1x^0+161x^32+256x^33+109x^34+3072x^37+88x^40+256x^41+136x^42+6x^48+10x^50+1x^66

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 12.9 seconds.