The generator matrix

 1  0  1
 0  1  6
 0  0  7

generates a code of length 3 over Z9 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+18x^2+6x^3+108x^4+72x^5+228x^6+216x^7+72x^8+8x^9

The gray image is a code over GF(3) with n=9, k=6 and d=2.
This code was found by Heurico 1.16 in 3.89e-005 seconds.