The generator matrix
1 1 1 1 1 1 1 1 1 1 1
0 3 0 0 0 0 0 3 0 3 0
0 0 3 0 0 0 0 6 0 3 0
0 0 0 3 0 0 0 6 3 0 0
0 0 0 0 3 0 0 6 6 0 0
0 0 0 0 0 3 0 6 6 6 0
0 0 0 0 0 0 3 6 3 3 0
generates a code of length 11 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+30x^9+98x^12+190x^15+330x^18+494x^21+17496x^22+472x^24+368x^27+164x^30+40x^33
The gray image is a code over GF(3) with n=99, k=9 and d=27.
This code was found by Heurico 1.16 in 0.0883 seconds.