The generator matrix

 1  0  1  1  1  1  1  1  1  1  1
 0  1  1  2 2X^2 2X^2+2 X+2 2X+2  X 2X^2+X  2
 0  0 2X X^2 X^2+X 2X^2+X  X 2X^2 X^2+X 2X^2 2X^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+214x^18+150x^19+870x^20+530x^21+2292x^22+1716x^23+588x^24+150x^25+6x^26+40x^27+4x^30

The gray image is a linear code over GF(3) with n=99, k=8 and d=54.
This code was found by Heurico 1.16 in 0.0138 seconds.