The generator matrix

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

generates a code of length 35 over Z3[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+378x^65+278x^66+720x^67+816x^68+738x^69+714x^70+942x^71+530x^72+654x^73+594x^74+128x^75+12x^77+24x^78+6x^79+12x^80+12x^82+2x^84

The gray image is a linear code over GF(3) with n=315, k=8 and d=195.
This code was found by Heurico 1.16 in 0.0683 seconds.