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

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+82x^60+56x^63+162x^64+1458x^66+324x^67+56x^69+14x^72+22x^78+10x^81+2x^96

The gray image is a linear code over GF(3) with n=297, k=7 and d=180.
This code was found by Heurico 1.16 in 0.037 seconds.