The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+60x^20+2x^24+1x^32

The gray image is a code over GF(2) with n=80, k=6 and d=40.
This code was found by Heurico 1.16 in 0.0012 seconds.