The generator matrix
1 1 1 1 1 1 1 1 1 X 1
0 6 0 0 6 0 6 6 3 6 0
0 0 6 0 3 6 3 6 3 0 0
0 0 0 6 3 3 0 3 3 6 0
generates a code of length 11 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+24x^18+54x^20+36x^21+486x^22+108x^23+2x^27+18x^30
The gray image is a code over GF(3) with n=99, k=6 and d=54.
This code was found by Heurico 1.16 in 0.000806 seconds.