The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^33+553x^34+1260x^35+2213x^36+5092x^37+6559x^38+11666x^39+10585x^40+11680x^41+6516x^42+5254x^43+2236x^44+1046x^45+435x^46+166x^47+64x^48+36x^49+17x^50+6x^51+5x^52+2x^53

The gray image is a code over GF(2) with n=320, k=16 and d=132.
This code was found by Heurico 1.16 in 25.8 seconds.