The generator matrix

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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+138x^62+224x^63+126x^64+582x^65+226x^66+108x^67+492x^68+216x^69+36x^70+30x^71+2x^75+6x^78

The gray image is a linear code over GF(3) with n=297, k=7 and d=186.
This code was found by Heurico 1.16 in 0.0141 seconds.