The generator matrix

 1  0  1  1
 0  1  1  0
 0  0  6  0
 0  0  0  3

generates a code of length 4 over Z9 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+8x^3+18x^4+132x^6+72x^7+162x^8+248x^9+72x^10+16x^12

The gray image is a code over GF(3) with n=12, k=6 and d=3.
This code was found by Heurico 1.16 in 9.11e-005 seconds.