The generator matrix
1 1 1 1 1 1 1 1 1
0 3 0 0 0 0 0 3 0
0 0 3 0 0 0 0 6 0
0 0 0 3 0 0 0 6 0
0 0 0 0 3 0 0 6 0
0 0 0 0 0 3 0 6 0
0 0 0 0 0 0 3 6 0
generates a code of length 9 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+42x^6+84x^9+252x^12+420x^15+18000x^18+504x^21+294x^24+86x^27
The gray image is a code over GF(3) with n=81, k=9 and d=18.
This code was found by Heurico 1.16 in 0.054 seconds.