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

generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+294x^131+172x^132+360x^134+192x^135+228x^137+130x^138+222x^140+74x^141+96x^143+36x^144+90x^146+86x^147+114x^149+24x^150+42x^152+12x^153+6x^155+6x^161+2x^171

The gray image is a linear code over GF(3) with n=207, k=7 and d=131.
This code was found by Heurico 1.16 in 0.15 seconds.