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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+346x^60+162x^62+606x^63+486x^64+648x^65+1954x^66+972x^67+648x^68+314x^69+282x^72+134x^75+6x^78+2x^90

The gray image is a linear code over GF(3) with n=297, k=8 and d=180.
This code was found by Heurico 1.16 in 0.125 seconds.