The generator matrix

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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+120x^130+178x^132+228x^133+22x^135+60x^136+42x^139+22x^141+18x^142+2x^144+12x^145+16x^150+6x^151+2x^153

The gray image is a linear code over GF(3) with n=201, k=6 and d=130.
This code was found by Heurico 1.16 in 0.0469 seconds.