The generator matrix

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

generates a code of length 34 over Z3[X]/(X^3) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+216x^63+258x^64+666x^65+1054x^66+642x^67+804x^68+1078x^69+660x^70+624x^71+450x^72+48x^73+8x^75+6x^76+6x^77+20x^78+6x^79+6x^80+6x^81+2x^90

The gray image is a linear code over GF(3) with n=306, k=8 and d=189.
This code was found by Heurico 1.16 in 0.0653 seconds.