The generator matrix

 1  0  0  1  1
 0  1  0  1  2
 0  0  1  2  1

generates a code of length 5 over Z8 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+48x^3+98x^4+224x^5+88x^6+48x^7+5x^8

The gray image is a code over GF(2) with n=20, k=9 and d=6.
This code was found by Heurico 1.11 in 0.000113 seconds.