The generator matrix

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

generates a code of length 23 over Z3[X]/(X^2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+36x^43+60x^44+8x^45+48x^46+36x^47+12x^48+12x^49+6x^51+12x^52+12x^53

The gray image is a linear code over GF(3) with n=69, k=5 and d=43.
This code was found by Heurico 1.16 in 0.00137 seconds.