The generator matrix

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

generates a code of length 11 over Z3[X]/(X^3) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+930x^18+486x^19+1296x^20+2574x^21+8262x^22+2592x^23+2988x^24+486x^25+68x^27

The gray image is a linear code over GF(3) with n=99, k=9 and d=54.
This code was found by Heurico 1.16 in 0.0911 seconds.