The generator matrix

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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+138x^63+162x^66+324x^69+70x^72+32x^81+2x^99

The gray image is a linear code over GF(3) with n=102, k=6 and d=63.
This code was found by Heurico 1.16 in 0.498 seconds.