The generator matrix

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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+142x^32+68x^33+590x^34+468x^35+1765x^36+1900x^37+4344x^38+3716x^39+6924x^40+3684x^41+4164x^42+1916x^43+1874x^44+484x^45+472x^46+44x^47+147x^48+8x^49+30x^50+25x^52+2x^56

The gray image is a code over GF(2) with n=320, k=15 and d=128.
This code was found by Heurico 1.16 in 9.91 seconds.