The generator matrix

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

generates a code of length 22 over Z3[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+168x^36+126x^37+210x^38+608x^39+234x^40+222x^41+764x^42+432x^43+504x^44+1104x^45+414x^46+402x^47+752x^48+198x^49+120x^50+224x^51+54x^52+14x^54+8x^57+2x^60

The gray image is a linear code over GF(3) with n=66, k=8 and d=36.
This code was found by Heurico 1.16 in 0.215 seconds.