The generator matrix

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

generates a code of length 11 over Z3[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+132x^15+294x^18+648x^21+978x^24+110x^27+24x^33

The gray image is a linear code over GF(3) with n=33, k=7 and d=15.
This code was found by Heurico 1.16 in 0.108 seconds.