The generator matrix

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

generates a code of length 10 over Z3[X]/(X^2) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+42x^9+18x^10+144x^12+180x^13+270x^15+1692x^16+1938x^18+5328x^19+3546x^21+5328x^22+378x^24+576x^25+206x^27+36x^30

The gray image is a linear code over GF(3) with n=30, k=9 and d=9.
This code was found by Heurico 1.16 in 0.113 seconds.