The generator matrix

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

generates a code of length 29 over Z3[X]/(X^3) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+206x^54+324x^56+240x^57+486x^58+648x^59+174x^60+50x^63+48x^66+6x^69+2x^72+2x^81

The gray image is a linear code over GF(3) with n=261, k=7 and d=162.
This code was found by Heurico 1.16 in 0.016 seconds.