The generator matrix

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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+258x^58+354x^59+196x^60+516x^61+1146x^62+460x^63+1938x^64+2598x^65+3738x^66+3654x^67+2478x^68+588x^69+600x^70+384x^71+88x^72+276x^73+282x^74+24x^75+30x^76+48x^77+6x^78+18x^79+2x^87

The gray image is a linear code over GF(3) with n=297, k=9 and d=174.
This code was found by Heurico 1.16 in 83.1 seconds.