The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^9+162x^10+1224x^12+1296x^13+1458x^14+5958x^15+3888x^16+5832x^17+17214x^18+5184x^19+5832x^20+7794x^21+2592x^22+468x^24+20x^27

The gray image is a linear code over GF(3) with n=27, k=10 and d=9.
This code was found by Heurico 1.16 in 35.6 seconds.