The generator matrix

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

generates a code of length 11 over Z3[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+180x^18+180x^21+306x^24+62x^27

The gray image is a linear code over GF(3) with n=33, k=6 and d=18.
This code was found by Heurico 1.16 in 0.00572 seconds.