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

generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+316x^135+642x^138+420x^141+278x^144+240x^147+90x^150+96x^153+36x^156+30x^159+34x^162+4x^171

The gray image is a linear code over GF(3) with n=213, k=7 and d=135.
This code was found by Heurico 1.13 in 0.0937 seconds.