The generator matrix

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

generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+88x^132+72x^133+138x^134+192x^135+48x^136+50x^138+36x^139+36x^141+12x^143+24x^144+4x^147+2x^150+12x^152+8x^153+6x^154

The gray image is a linear code over GF(3) with n=204, k=6 and d=132.
This code was found by Heurico 1.16 in 0.0564 seconds.