The generator matrix

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

generates a code of length 22 over Z3[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+168x^40+132x^42+108x^43+60x^45+126x^46+36x^48+48x^49+12x^51+36x^52+2x^54

The gray image is a linear code over GF(3) with n=66, k=6 and d=40.
This code was found by Heurico 1.16 in 0.281 seconds.