The generator matrix

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

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+30x^9+98x^12+190x^15+330x^18+494x^21+4374x^22+472x^24+368x^27+164x^30+40x^33

The gray image is a linear code over GF(3) with n=33, k=8 and d=9.
This code was found by Heurico 1.16 in 0.0159 seconds.