The generator matrix

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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+52x^66+36x^67+54x^68+64x^69+18x^70+12x^72+2x^75+2x^78+2x^81

The gray image is a linear code over GF(3) with n=102, k=5 and d=66.
This code was found by Heurico 1.16 in 0.00508 seconds.