The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^33+187x^34+524x^35+800x^36+1318x^37+1630x^38+2678x^39+2018x^40+2864x^41+1573x^42+1300x^43+715x^44+384x^45+190x^46+86x^47+43x^48+18x^49+2x^50+4x^51+7x^52+2x^53+2x^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 2.77 seconds.