The generator matrix

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

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+1032x^57+1800x^58+4674x^59+10216x^60+13650x^61+25584x^62+37008x^63+49728x^64+68316x^65+75410x^66+80742x^67+71784x^68+49572x^69+23814x^70+11784x^71+5138x^72+816x^73+102x^74+202x^75+24x^76+6x^77+26x^78+12x^79

The gray image is a linear code over GF(3) with n=297, k=12 and d=171.
This code was found by Heurico 1.16 in 233 seconds.