The generator matrix

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

generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+90x^136+48x^137+12x^138+48x^140+8x^141+12x^142+12x^143+2x^144+4x^150+6x^151

The gray image is a linear code over GF(3) with n=207, k=5 and d=136.
This code was found by Heurico 1.16 in 0.164 seconds.