The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^10+252x^12+864x^13+1368x^15+4050x^16+3102x^18+6372x^19+1800x^21+1728x^22+36x^24+2x^27

The gray image is a linear code over GF(3) with n=27, k=9 and d=10.
This code was found by Heurico 1.16 in 0.281 seconds.