The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+29x^32+30x^33+68x^34+202x^35+194x^36+610x^37+711x^38+1730x^39+1116x^40+1702x^41+671x^42+606x^43+168x^44+214x^45+70x^46+22x^47+22x^48+4x^49+10x^50+6x^52+3x^54+3x^58

The gray image is a code over GF(2) with n=320, k=13 and d=128.
This code was found by Heurico 1.16 in 0.738 seconds.