The generator matrix

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

generates a code of length 9 over Z3[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+252x^12+1368x^15+3102x^18+1800x^21+36x^24+2x^27

The gray image is a linear code over GF(3) with n=27, k=8 and d=12.
This code was found by Heurico 1.16 in 2.59 seconds.