The generator matrix

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

generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+392x^129+512x^132+462x^135+268x^138+206x^141+144x^144+102x^147+72x^150+14x^153+12x^156+2x^168

The gray image is a linear code over GF(3) with n=204, k=7 and d=129.
This code was found by Heurico 1.16 in 0.131 seconds.