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

generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+126x^134+110x^135+216x^137+80x^138+84x^140+12x^141+30x^143+8x^144+6x^146+18x^147+6x^149+6x^152+10x^153+12x^155+4x^156

The gray image is a linear code over GF(3) with n=207, k=6 and d=134.
This code was found by Heurico 1.13 in 0.053 seconds.