The generator matrix
1 1 1 1 1 1 1 1 1 X X
0 3 0 0 0 3 0 6 6 3 3
0 0 3 0 0 6 3 0 6 6 3
0 0 0 3 0 6 3 6 0 3 6
0 0 0 0 3 3 3 3 6 0 6
generates a code of length 11 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+186x^18+216x^21+1458x^22+216x^24+110x^27
The gray image is a code over GF(3) with n=99, k=7 and d=54.
This code was found by Heurico 1.16 in 0.00337 seconds.