The generator matrix

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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+36x^54+60x^56+108x^57+180x^58+330x^59+270x^60+270x^61+1410x^62+1072x^63+846x^64+4512x^65+2032x^66+846x^67+4728x^68+1348x^69+594x^70+480x^71+82x^72+180x^73+126x^74+70x^75+18x^77+52x^78+24x^81+4x^84+4x^87

The gray image is a linear code over GF(3) with n=297, k=9 and d=162.
This code was found by Heurico 1.16 in 0.949 seconds.