The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^32+102x^33+333x^34+528x^35+1321x^36+2232x^37+3838x^38+4884x^39+6301x^40+4768x^41+3997x^42+2220x^43+1237x^44+484x^45+267x^46+108x^47+62x^48+26x^49+10x^50+4x^51+6x^52+4x^53+3x^54

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 7.11 seconds.