The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  2  0  1  1  1  1  2  0  1  2  0  1  2  0  1  1  1  2  0  2  1  1  1  1
 0  2  0  6  0  6  0  6  0  6  4  6  6  2  0  6  6  2  0  6  6  6  6  2  4  6  2  0  6  2  6  6  0  0  2  0  6  6  0  0
 0  0  4  0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  4  4  0  4  4  0  0  0  4  0  4  0  0  0  4  4  4  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  0  4  4  4  0  4  4  4  4  4  0  4  4  4  4  0  0  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  4  0  0  4  4  4  0  0  4  0  4  0  4  0  0  4  0  4  4  4  0  4  0  0  0  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  4  4  0  0  4  4  4  4  0  0  4  0  4  0  4  0  0  0  4  4  4  0  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  4  0  4  0  0  4  4  0  0  4  4  4  4  0  0  0  4  4  0  4  4  0  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  0  4  4  4  0  4  4  0  0  4  4  0  4  0  0  4  0  4  0  0  4  4  0  4  4  4  0
 0  0  0  0  0  0  0  0  4  0  4  0  4  4  0  0  4  4  4  0  4  4  0  4  4  4  0  0  0  4  0  4  4  4  4  0  4  4  4  0
 0  0  0  0  0  0  0  0  0  4  0  4  4  4  0  0  4  4  0  4  0  4  4  0  0  0  0  4  4  4  0  4  0  4  0  0  0  0  4  0

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

Homogenous weight enumerator: w(x)=1x^0+28x^28+6x^29+57x^30+24x^31+131x^32+88x^33+175x^34+278x^35+408x^36+628x^37+759x^38+1000x^39+974x^40+1048x^41+780x^42+660x^43+404x^44+246x^45+191x^46+80x^47+76x^48+32x^49+68x^50+6x^51+24x^52+17x^54+2x^56+1x^66

The gray image is a code over GF(2) with n=160, k=13 and d=56.
This code was found by Heurico 1.16 in 2.15 seconds.