The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1  1  1 2X  1  1  1  0  1  1  1  1  1  1  1
 0  1 2X^2+2X+1  2 X+1 2X^2+X 2X^2+X+2  1 2X 2X^2+1 2X+2  1 2X^2+2X+1  0  2  1 2X^2+X 2X X^2 X+1 2X^2+1 X^2+2X+1 X^2
 0  0 2X^2  0 X^2 2X^2 X^2 X^2  0 2X^2  0  0 X^2 2X^2 X^2 X^2  0 2X^2 X^2 2X^2 X^2  0 2X^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+120x^42+54x^43+372x^44+468x^45+54x^46+552x^47+458x^48+54x^49+48x^50+4x^57+2x^63

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 0.00694 seconds.