The generator matrix

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

generates a code of length 23 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+64x^42+210x^43+90x^45+150x^46+36x^48+54x^49+40x^51+60x^52+8x^54+12x^55+4x^60

The gray image is a linear code over GF(3) with n=69, k=6 and d=42.
This code was found by Heurico 1.16 in 0.00467 seconds.