The generator matrix

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

generates a code of length 23 over Z3[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+64x^42+216x^43+60x^45+1620x^46+90x^48+24x^51+108x^52+2x^54+2x^69

The gray image is a linear code over GF(3) with n=207, k=7 and d=126.
This code was found by Heurico 1.16 in 0.0116 seconds.