The generator matrix

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

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+110x^18+378x^20+172x^21+486x^22+756x^23+264x^24+18x^27+2x^30

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 0.00208 seconds.