The generator matrix
1 1 1 1 1 1 1 1 1
0 3 0 3 0 3 6 6 6
0 0 3 6 6 3 0 3 6
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+240x^18+2x^27
The gray image is a code over GF(3) with n=81, k=5 and d=54.
This code was found by Heurico 1.16 in 0.000209 seconds.