The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^33+504x^34+850x^35+1562x^36+2168x^37+3767x^38+4628x^39+5574x^40+4366x^41+4143x^42+2306x^43+1380x^44+688x^45+405x^46+176x^47+57x^48+28x^49+13x^50+8x^51+2x^52+4x^53

The gray image is a code over GF(2) with n=320, k=15 and d=132.
This code was found by Heurico 1.16 in 9.94 seconds.