The generator matrix

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

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+78x^57+66x^58+144x^59+444x^60+306x^61+918x^62+1816x^63+924x^64+3222x^65+3556x^66+1536x^67+3204x^68+2388x^69+540x^70+270x^71+146x^72+30x^73+18x^74+54x^75+8x^78+6x^81+2x^84+4x^87+2x^90

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 0.525 seconds.