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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+120x^64+216x^65+32x^66+96x^67+32x^69+8x^72+96x^73+108x^74+4x^75+12x^76+4x^78

The gray image is a linear code over GF(3) with n=102, k=6 and d=64.
This code was found by Heurico 1.16 in 1.38 seconds.