The generator matrix

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

generates a code of length 35 over Z3[X]/(X^3) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+230x^63+216x^64+444x^65+1828x^66+840x^67+1056x^68+4534x^69+1596x^70+1884x^71+4508x^72+1206x^73+384x^74+680x^75+24x^76+96x^77+96x^78+6x^79+24x^80+28x^81+2x^87

The gray image is a linear code over GF(3) with n=315, k=9 and d=189.
This code was found by Heurico 1.16 in 0.558 seconds.