The generator matrix

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

generates a code of length 5 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+23x^2+44x^3+104x^4+168x^5+104x^6+44x^7+23x^8+1x^10

The gray image is a code over GF(2) with n=20, k=9 and d=4.
This code was found by Heurico 1.16 in 0.000172 seconds.