The generator matrix

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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+678x^59+526x^60+2232x^61+3774x^62+2358x^63+6912x^64+9444x^65+4168x^66+11232x^67+9330x^68+2436x^69+3438x^70+1950x^71+440x^72+60x^74+24x^75+36x^77+8x^78+2x^84

The gray image is a linear code over GF(3) with n=297, k=10 and d=177.
This code was found by Heurico 1.16 in 3.45 seconds.