The generator matrix

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

generates a code of length 22 over Z3[X]/(X^3) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+112x^39+522x^40+834x^42+1608x^43+1578x^45+1710x^46+132x^48+36x^49+4x^51+12x^52+8x^54+2x^57+2x^60

The gray image is a linear code over GF(3) with n=198, k=8 and d=117.
This code was found by Heurico 1.16 in 0.0482 seconds.