The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1  1  1 2X^2  1 2X^2+X  1  1  1  1  0  1 2X^2+X  1 2X  1  1  1  1 X^2+X  1  0  1  1  0
 0  1  1  2 2X^2+2X+1 2X^2 2X^2+2  1 X+1 2X^2+X 2X+2  1  1  1 2X^2+2X+2 2X  2 2X^2+X+1  1 2X^2+X  1 2X^2+2X  1 2X 2X+2 X+1 2X^2+1  1 X^2  X  X 2X^2+1  1
 0  0 2X  0  0 2X^2+X 2X^2+X 2X^2 X^2 2X^2+2X X^2+2X X^2+X  X 2X^2+2X 2X^2+X 2X X^2+2X  X  0 2X^2 2X  X 2X 2X^2 2X^2 X^2+2X 2X  0 X^2+X 2X X^2+X X^2 X^2+2X
 0  0  0 X^2  0 2X^2  0 X^2  0  0 X^2  0 X^2 2X^2 2X^2 2X^2  0 2X^2 2X^2  0 2X^2 2X^2 X^2  0 2X^2  0 X^2 X^2  0  0 X^2 2X^2 X^2
 0  0  0  0 2X^2  0  0  0 X^2  0  0 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2  0 2X^2  0 X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 2X^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+120x^57+318x^58+486x^59+1312x^60+1218x^61+2100x^62+6266x^63+3720x^64+6234x^65+13560x^66+5514x^67+6120x^68+8182x^69+2022x^70+996x^71+290x^72+276x^73+102x^74+138x^75+54x^76+10x^78+4x^81+6x^84

The gray image is a linear code over GF(3) with n=297, k=10 and d=171.
This code was found by Heurico 1.16 in 4.22 seconds.