The generator matrix

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

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+504x^42+486x^43+438x^44+1420x^45+846x^46+852x^47+1474x^48+420x^49+6x^50+54x^51+24x^52+26x^54+6x^55+2x^57+2x^63

The gray image is a linear code over GF(3) with n=207, k=8 and d=126.
This code was found by Heurico 1.16 in 92.1 seconds.