The generator matrix

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

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+984x^65+1582x^66+1188x^67+2442x^68+2586x^69+1890x^70+3048x^71+2360x^72+1080x^73+1572x^74+824x^75+54x^76+24x^77+18x^78+30x^80

The gray image is a linear code over GF(3) with n=315, k=9 and d=195.
This code was found by Heurico 1.16 in 0.851 seconds.