The generator matrix

 1  1  1  1  1  1  1  1  1  1  1
 0  X  0 X^2 2X 2X^2+X  X 2X X^2 X^2+X  0
 0  0  X 2X^2+2X X^2 2X^2+2X  X 2X^2  0 X^2+2X 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+98x^18+24x^19+78x^20+120x^21+1572x^22+60x^23+136x^24+24x^25+24x^26+48x^27+2x^33

The gray image is a linear code over GF(3) with n=99, k=7 and d=54.
This code was found by Heurico 1.16 in 0.00326 seconds.