The generator matrix

 1  0  1  1  1  1  1 2X^2  1  1 2X^2+X  1  1 2X^2+X  1  1 2X  1  1 X^2  1  1  1  1  1  1  1 2X  1  1  1 2X^2+X  1
 0  1  1  2  0 2X+1 2X^2+2  1  X X+1  1  2 2X^2+X+2  1  0 2X^2+2X+1  1 2X 2X^2+X+2  1  1 X+2 X^2+X+1 2X^2+2X+1 X^2+X 2X^2+2 2X^2+X+2  1 X^2+X+1 X^2+2X X+2  1  0
 0  0 2X  0 X^2  0 2X^2+2X  X 2X^2+2X 2X^2+2X  X X^2+2X 2X^2 2X 2X^2+2X X^2 2X^2 X^2+X  X X^2+2X X^2+2X  X X^2 X^2+X 2X^2 2X^2+X  0 2X^2+X  X X^2 X^2 2X^2+2X  0
 0  0  0  X 2X^2+2X X^2+X  X 2X^2+2X X^2+X X^2+2X  X X^2 2X 2X^2 2X  0 X^2+2X X^2+X 2X^2+X 2X  X X^2+2X 2X X^2+2X  X 2X^2 X^2 X^2+2X X^2+X X^2+X 2X^2  0 X^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+78x^57+162x^58+738x^59+892x^60+1638x^61+2652x^62+3104x^63+6468x^64+6894x^65+9556x^66+10914x^67+7224x^68+4148x^69+2466x^70+1164x^71+342x^72+192x^73+234x^74+104x^75+30x^76+48x^77

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 4.17 seconds.