The generator matrix

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

generates a code of length 9 over Z3[X]/(X^3) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+216x^14+216x^15+648x^16+864x^17+2238x^18+1296x^19+864x^20+216x^21+2x^27

The gray image is a linear code over GF(3) with n=81, k=8 and d=42.
This code was found by Heurico 1.16 in 0.173 seconds.