The generator matrix

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

generates a code of length 23 over Z3[X]/(X^3) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+234x^41+342x^42+1158x^44+1138x^45+2196x^47+1150x^48+270x^50+34x^51+30x^53+4x^54+2x^57+2x^60

The gray image is a linear code over GF(3) with n=207, k=8 and d=123.
This code was found by Heurico 1.16 in 0.373 seconds.