The generator matrix

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

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+44x^9+136x^12+276x^15+500x^18+4374x^20+580x^21+426x^24+184x^27+40x^30

The gray image is a linear code over GF(3) with n=30, k=8 and d=9.
This code was found by Heurico 1.16 in 0.0221 seconds.