The generator matrix

 1  0  0  0  1  1  1 2X 2X  1  1  0  1  1  X  1  1  1  1  1  0 2X
 0  1  0  0  0  1 2X+1  1 2X 2X  1  1 2X 2X+1  1  2  0 2X  X X+1  1  1
 0  0  1  0  1  1 2X+2 2X+1  1 X+2  0 2X+2 X+1  0 2X+2 2X+2  1  2  X 2X+2  2 2X+1
 0  0  0  1  2  0 2X+2 2X+2 2X+1  1 2X+1 2X+1  0 2X  X  X 2X+1  0 2X+2 X+1 X+2  0
 0  0  0  0 2X  0 2X 2X  X  X  X 2X  X 2X 2X 2X 2X 2X 2X  0  X 2X
 0  0  0  0  0  X  X  0  0  X  0  0 2X 2X  X  0  X 2X 2X  X  X 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+272x^33+234x^34+324x^35+1478x^36+936x^37+1230x^38+4150x^39+2142x^40+2670x^41+7928x^42+3690x^43+4128x^44+10330x^45+3546x^46+3522x^47+6630x^48+2178x^49+1164x^50+1892x^51+396x^52+84x^53+96x^54+18x^57+6x^60+2x^63+2x^66

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 10.2 seconds.