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

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+206x^42+224x^45+162x^48+116x^51+16x^54+2x^60+2x^63

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 0.00899 seconds.