The generator matrix

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

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+162x^18+234x^21+252x^24+80x^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 0.00146 seconds.