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 2X  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 X+1  1  2 X+2 X+2  2  1 2X+1
 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 X+1 X+2 2X+1  0 2X+2  0 X+1 X+2
 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  0 2X  X  0  0  X  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+270x^131+182x^132+354x^134+184x^135+312x^137+160x^138+120x^140+52x^141+156x^143+32x^144+102x^146+52x^147+78x^149+34x^150+66x^152+20x^153+4x^156+2x^159+6x^162

The gray image is a linear code over GF(3) with n=207, k=7 and d=131.
This code was found by Heurico 1.13 in 0.156 seconds.