The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+192x^33+1180x^34+2718x^35+5149x^36+7246x^37+10436x^38+11246x^39+11015x^40+7852x^41+4764x^42+2094x^43+1121x^44+374x^45+116x^46+18x^47+8x^48+4x^51+2x^52

The gray image is a code over GF(2) with n=312, k=16 and d=132.
This code was found by Heurico 1.16 in 20.4 seconds.