The generator matrix

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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+246x^57+18x^58+1080x^60+144x^61+486x^62+2014x^63+1404x^64+1944x^65+4196x^66+2520x^67+1944x^68+2234x^69+288x^70+862x^72+254x^75+32x^78+12x^81+2x^84+2x^87

The gray image is a linear code over GF(3) with n=297, k=9 and d=171.
This code was found by Heurico 1.16 in 0.897 seconds.