The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  6  1  1  0  1  4  1  2  2  1  1  4  6  1  2  1  1  1  2  0  1  1  4  4  0  1  1  1  1
 0  1  1  0  3  1  2  3  1  6  5  1  3  0  1  4  1  7  4  1  1  2  2  1  5  2  3  4  6  1  1  0  3  1  1  0  7  3  0  0
 0  0  2  6  0  6  2  6  2  0  0  0  4  0  0  2  2  2  2  6  6  2  2  0  0  2  4  6  4  4  0  4  4  2  6  2  6  0  0  0
 0  0  0  4  0  0  0  0  0  0  4  4  4  0  0  4  0  4  4  4  4  4  0  0  0  4  4  4  4  0  0  4  4  4  0  0  0  4  0  0
 0  0  0  0  4  0  0  0  0  0  4  0  0  0  4  4  4  0  4  4  0  4  0  0  4  4  4  0  4  4  4  0  0  4  4  4  0  4  0  0
 0  0  0  0  0  4  0  0  0  0  4  0  4  4  4  0  0  4  4  4  4  0  0  4  4  0  0  0  0  4  0  0  0  4  4  4  0  4  0  0
 0  0  0  0  0  0  4  0  0  0  4  4  4  0  4  0  4  0  0  4  0  4  0  4  0  4  0  0  0  4  4  4  4  0  4  4  4  4  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  0  0  0  4  4  4  4  0  0  0  0  0  4  4  4  4  0  0  0  4  0  0  4  0  0
 0  0  0  0  0  0  0  0  4  0  4  0  4  4  4  4  4  0  4  0  0  0  4  4  0  0  4  0  4  4  0  0  4  0  4  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  0  4  0  0  0  4  0  4  4  4  4  4  0  0  4  0  4  0  4  0  0  4  4  0  4  0  0  0  0

generates a code of length 40 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+77x^28+126x^30+20x^31+491x^32+284x^33+954x^34+1136x^35+1885x^36+2640x^37+2846x^38+4088x^39+3630x^40+4136x^41+2812x^42+2672x^43+2009x^44+1104x^45+850x^46+276x^47+492x^48+28x^49+90x^50+107x^52+2x^54+10x^56+2x^60

The gray image is a code over GF(2) with n=160, k=15 and d=56.
This code was found by Heurico 1.16 in 19.4 seconds.