The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  0  X  1  1  0  1  1
 0  1  1  2  0  1  2  1  0 2X+1  2  1 2X+1 2X+1  0  1  1  0 2X+1  1  X  0
 0  0 2X  0  0  0  0  X  X 2X  X 2X  0  0  X 2X  X 2X  0  0  X  0
 0  0  0  X  0  0  X 2X 2X 2X  X  0  X 2X  X  X  0  0  0  0  X  0
 0  0  0  0  X  0 2X 2X  X 2X  0  X  0  X  X  X 2X  0  0  X  0  0
 0  0  0  0  0 2X  X 2X  X 2X  0  X 2X  0 2X 2X  0 2X  X  0  0 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+58x^33+48x^35+150x^36+318x^38+272x^39+948x^41+502x^42+1572x^44+540x^45+1248x^47+410x^48+240x^50+190x^51+38x^54+20x^57+6x^60

The gray image is a linear code over GF(3) with n=66, k=8 and d=33.
This code was found by Heurico 1.16 in 0.154 seconds.