The generator matrix

 1  0  1  1  6  1  1  4  1  1  1  4 14  2  1  1  1  1  6  4  1  1  1  8  1  1  1  1 12  1  1  2  4  1  1  4  8  1  1
 0  1  1  6  1  3  5  1  4  2  7  1  1  1 12 11 14  9  1  1 12 11  6  1  7  4 14 10  1  4 11  6  1 10  3  1  2 11  8
 0  0  2  0  0  0  8  2  2  2 10 12 12  2  8 10  4  6  6 10  6  4 14  4  4 12  2  6 14 12  6 14  6  8 14  8 10  4  4
 0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  8  0  8  0  0  8  0  8  8  8  8  0  0  8  8  8  0  8  0  0  8  0  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  0  8  8  8  0  8  8  8  0  0  0  8
 0  0  0  0  0  8  8  0  8  0  8  8  8  8  0  8  0  0  0  8  8  8  0  0  0  8  8  0  0  8  8  0  8  8  0  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+36x^33+321x^34+500x^35+1333x^36+1650x^37+3083x^38+2812x^39+2844x^40+1684x^41+1252x^42+414x^43+296x^44+50x^45+76x^46+16x^47+3x^48+4x^49+3x^50+2x^51+3x^52+1x^54

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 1.69 seconds.