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 2X^2  1  X
 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 X^2+X X^2+X  0 2X 2X^2+X X^2 X^2+2X  X  X 2X^2+2X X^2 2X X^2+2X 2X^2+X 2X^2  X 2X^2 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 2X^2 X^2+2X 2X 2X^2+2X  0 X^2+2X 2X^2+X X^2+X 2X^2+2X X^2 X^2+X  X  0 X^2+2X 2X^2+X X^2+X  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+210x^62+110x^63+162x^64+384x^65+540x^66+324x^67+276x^68+36x^69+60x^71+40x^72+30x^74+12x^77+2x^90

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 0.0196 seconds.