The generator matrix

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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+38x^33+95x^34+172x^35+506x^36+1334x^37+1707x^38+3084x^39+2578x^40+3060x^41+1714x^42+1320x^43+472x^44+160x^45+50x^46+28x^47+21x^48+14x^49+15x^50+4x^51+6x^52+2x^53+3x^54

The gray image is a code over GF(2) with n=320, k=14 and d=132.
This code was found by Heurico 1.16 in 1.92 seconds.