The generator matrix

 1  1  1
 0  3  6

generates a code of length 3 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+78x^6+2x^9

The gray image is a code over GF(3) with n=27, k=4 and d=18.
This code was found by Heurico 1.16 in 3.79e-005 seconds.