The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  2  1  1  4  2  1  1  2  4  1  8  1 12  1  1  1  1
 0  2  0  2  0  0  6 14  4  4 10  6  8  2 12  2 12 12  2  2 14 12 12  6  2  2 10  4  0  6  2 14  2  2  8  4 12  8  4
 0  0  2  2 12  6  6  4  4  2  6  0  0  6 14  4  0  8 10  6  2 10  6 14  4  4  8 10  0 14 10  8 10  2  2 14  6 14  2
 0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  0  8  8  8  8  0  8  0  0  8  8  0  8  8  8  0  8  8  0  8  0  8  8  0
 0  0  0  0  8  0  8  0  8  8  0  8  0  8  8  8  8  8  8  0  8  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  0  8  0  8  8  0  8  8  0  0  0  0  0  0  8  8  8  0  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+58x^33+133x^34+434x^35+468x^36+1184x^37+977x^38+1846x^39+912x^40+1156x^41+430x^42+310x^43+112x^44+88x^45+23x^46+34x^47+11x^48+10x^49+4x^50+1x^58

The gray image is a code over GF(2) with n=312, k=13 and d=132.
This code was found by Heurico 1.16 in 0.732 seconds.