The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+534x^33+2085x^34+4834x^35+9685x^36+15092x^37+21450x^38+23092x^39+22028x^40+15854x^41+9617x^42+4132x^43+1801x^44+644x^45+128x^46+68x^47+21x^48+2x^49+2x^51+2x^57

The gray image is a code over GF(2) with n=312, k=17 and d=132.
This code was found by Heurico 1.16 in 107 seconds.