The generator matrix

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

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+192x^33+318x^34+462x^35+1270x^36+1092x^37+1668x^38+2948x^39+2880x^40+3426x^41+5680x^42+4830x^43+5574x^44+7660x^45+5472x^46+4722x^47+4658x^48+2376x^49+1506x^50+1468x^51+486x^52+138x^53+168x^54+42x^55+8x^57+4x^60

The gray image is a linear code over GF(3) with n=66, k=10 and d=33.
This code was found by Heurico 1.16 in 13 seconds.