The generator matrix

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

generates a code of length 22 over Z3[X]/(X^2) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+44x^39+120x^40+82x^42+150x^43+52x^45+162x^46+38x^48+42x^49+18x^51+12x^52+4x^54+2x^57+2x^60

The gray image is a linear code over GF(3) with n=66, k=6 and d=39.
This code was found by Heurico 1.16 in 0.00493 seconds.