The generator matrix

 1  0  1  1  1  1  1  1  1  1  1
 0  1  1  2  0  1  2  0  0  0  0
 0  0 2X  0  0  0  0  0  0  X  X
 0  0  0  X  0  0  0  0  X 2X 2X
 0  0  0  0  X  0  0  0 2X 2X  X
 0  0  0  0  0 2X  0  0 2X 2X 2X
 0  0  0  0  0  0  X  0 2X 2X  0
 0  0  0  0  0  0  0  X 2X  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+60x^9+18x^10+216x^12+216x^13+504x^15+1080x^16+4008x^18+2880x^19+4374x^20+13284x^21+4320x^22+8748x^23+13194x^24+3456x^25+1034x^27+1152x^28+432x^30+72x^33

The gray image is a linear code over GF(3) with n=33, k=10 and d=9.
This code was found by Heurico 1.16 in 0.759 seconds.