The generator matrix

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

generates a code of length 22 over Z3[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+130x^33+922x^36+2380x^39+4882x^42+6280x^45+3910x^48+1090x^51+60x^54+28x^57

The gray image is a linear code over GF(3) with n=66, k=9 and d=33.
This code was found by Heurico 1.16 in 1.24 seconds.