The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+262x^33+1120x^34+2550x^35+4778x^36+7392x^37+10866x^38+11360x^39+11265x^40+7496x^41+4763x^42+2302x^43+892x^44+352x^45+80x^46+28x^47+20x^48+2x^49+3x^50+4x^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.