The generator matrix

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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+80x^126+78x^127+120x^128+338x^129+126x^130+144x^131+292x^132+84x^133+66x^134+164x^135+84x^136+66x^137+120x^138+42x^139+30x^140+62x^141+36x^142+18x^143+76x^144+18x^145+12x^146+50x^147+12x^148+24x^149+26x^150+6x^151+6x^152+2x^156+4x^159

The gray image is a linear code over GF(3) with n=201, k=7 and d=126.
This code was found by Heurico 1.13 in 0.0798 seconds.