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

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+6x^60+48x^61+150x^62+236x^63+222x^64+468x^65+22x^66+324x^67+504x^68+18x^69+6x^70+12x^71+120x^72+48x^73+2x^84

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 0.0234 seconds.