The generator matrix
1 1 1 1 1 1 X X X
0 3 6 0 3 6 3 6 0
generates a code of length 9 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+74x^18+6x^21
The gray image is a code over GF(3) with n=81, k=4 and d=54.
This code was found by Heurico 1.16 in 0.000194 seconds.