The generator matrix

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

generates a code of length 39 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+68x^33+144x^34+154x^35+355x^36+274x^37+804x^38+582x^39+779x^40+246x^41+351x^42+134x^43+72x^44+46x^45+39x^46+26x^47+8x^48+6x^49+5x^50+1x^54+1x^60

The gray image is a code over GF(2) with n=312, k=12 and d=132.
This code was found by Heurico 1.16 in 37 seconds.