The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^33+388x^34+1012x^35+2392x^36+4524x^37+7822x^38+10180x^39+12465x^40+10564x^41+8094x^42+4430x^43+2291x^44+846x^45+258x^46+112x^47+66x^48+16x^49+14x^50+10x^51+1x^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 20.7 seconds.