The generator matrix

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

generates a code of length 80 over Z8 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+252x^80+2x^96+1x^128

The gray image is a code over GF(2) with n=320, k=8 and d=160.
This code was found by Heurico 1.16 in 5.32 seconds.