The generator matrix
1 1 1 X X X
0 3 0 3 0 3
0 0 3 3 3 6
generates a code of length 6 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+24x^9+192x^12+24x^15+2x^18
The gray image is a code over GF(3) with n=54, k=5 and d=27.
This code was found by Heurico 1.16 in 0.000105 seconds.