The generator matrix

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

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+610x^60+396x^61+1134x^62+1516x^63+756x^64+4536x^65+2302x^66+1188x^67+4536x^68+1682x^69+576x^70+304x^72+128x^75+12x^78+4x^81+2x^90

The gray image is a linear code over GF(3) with n=297, k=9 and d=180.
This code was found by Heurico 1.16 in 12.8 seconds.