The generator matrix

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

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+66x^66+324x^67+72x^69+60x^72+24x^75+162x^76+18x^78+2x^81

The gray image is a linear code over GF(3) with n=105, k=6 and d=66.
This code was found by Heurico 1.16 in 0.0176 seconds.