The generator matrix

 1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  X 2X
 0  0  X  0  0  0  0  0  X 2X  0
 0  0  0  X  0  0  0  0 2X 2X  0
 0  0  0  0  X  0  0  0 2X 2X  X
 0  0  0  0  0  X  0  0 2X 2X 2X
 0  0  0  0  0  0  X  0 2X  X 2X
 0  0  0  0  0  0  0  X 2X  0 2X

generates a code of length 11 over Z3[X]/(X^2) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+60x^9+216x^12+504x^15+1092x^18+1620x^21+13122x^22+1530x^24+1034x^27+432x^30+72x^33

The gray image is a linear code over GF(3) with n=33, k=9 and d=9.
This code was found by Heurico 1.16 in 0.154 seconds.