The generator matrix
1 1 1 1 1 1 X X 1 1 1
0 X 2X 0 X+3 2X X+3 2X 0 0 6
0 0 6 0 0 6 3 0 6 6 3
0 0 0 6 0 3 6 3 6 0 3
0 0 0 0 3 3 3 3 0 6 3
generates a code of length 11 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 15.
Homogenous weight enumerator: w(x)=1x^0+42x^15+318x^18+972x^20+852x^21+1458x^22+1944x^23+822x^24+140x^27+12x^30
The gray image is a code over GF(3) with n=99, k=8 and d=45.
This code was found by Heurico 1.16 in 0.0198 seconds.