The generator matrix

 1  1
 0  7

generates a code of length 2 over Z9 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+12x^2+4x^3+36x^4+24x^5+4x^6

The gray image is a code over GF(3) with n=6, k=4 and d=2.
This code was found by Heurico 1.16 in 1.31e-005 seconds.