The generator matrix

 1  0  0  1  1  1  2  1  1 12  0 10  1  1  1  1 10  4  1  0  2  1  1  1  2 10  1 12  1  1  6  1  1 10 14  1  1  1  1
 0  1  0  2  1 11  1  7 14  1  1  6  2  9 12  4  1  1  5  4  1 13  7  4  6  4 10  1 15 14  6  6  5  1  1 11  3  7  0
 0  0  1  1  3  4  5  2  3  6  7  1 10  5  2  1  0 13 10  1  4  3  6 11  1  1  1  7  9 12  1  4  6  7  7  5 11  7  0
 0  0  0  4  0  0 12  4  8  4  8 12 12  8  8 12  8  4  8 12  8  8 12 12  4  0  0  0  8  4  8  0  8  0 12 12  8 12  0
 0  0  0  0  4  8  8  4 12  4  4  4  8  8  4 12  0 12 12  0 12  0  0  8  8  0 12  8  8  4  4  4  4 12  8  8  8 12  0

generates a code of length 39 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+91x^32+312x^33+1101x^34+2384x^35+4866x^36+7620x^37+10149x^38+12140x^39+10697x^40+7738x^41+4786x^42+2192x^43+888x^44+336x^45+149x^46+36x^47+29x^48+10x^49+7x^50+4x^52

The gray image is a code over GF(2) with n=312, k=16 and d=128.
This code was found by Heurico 1.16 in 20.2 seconds.