The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+164x^33+490x^34+738x^35+1276x^36+1646x^37+2566x^38+2640x^39+2689x^40+1632x^41+1226x^42+666x^43+367x^44+134x^45+66x^46+52x^47+18x^48+8x^49+4x^50+1x^52

The gray image is a code over GF(2) with n=312, k=14 and d=132.
This code was found by Heurico 1.16 in 2.52 seconds.