The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  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  X  0  0  0  0  X 2X 2X  0  0  X  X  X  X  X  X  X  0 2X  0 2X  0 2X  0  X 2X  X 2X 2X  0  0 2X  X  0  X  X  X  X  0  0  0  X  0  X  0  0  X  X 2X 2X  0  X 2X 2X 2X  X 2X  0 2X  X 2X  0 2X  0  X 2X 2X  0  X  0
 0  0  X  0  0  X 2X  0 2X  0  X  X 2X 2X  0  X  0  X  X  X  X  0  0 2X 2X  X  X 2X  0 2X  0  X  X  0 2X 2X  0  X  0 2X 2X 2X  X 2X 2X  0  0 2X  X  0  X  X  X  0 2X  0 2X 2X 2X  X  X  X 2X 2X 2X  0 2X  X  X  X  0
 0  0  0  X  0 2X 2X  X  0  X  X  0  0  X 2X  X  X 2X 2X  0  0 2X 2X 2X 2X 2X  X  X  0  X 2X  X 2X 2X  X 2X  X  0  0  0  X  0  X 2X  0  0  X  X  0 2X  0  X  X  0 2X 2X 2X  0  0 2X 2X  X 2X  X  X 2X  X 2X 2X  0  0
 0  0  0  0  X 2X 2X 2X 2X 2X  0 2X  0  0 2X 2X  0  X  0  0 2X 2X  X 2X  X 2X  0 2X  0  0 2X 2X  X  0  0  0 2X  0  X  X 2X 2X  X  0  X 2X  X  X  X  0 2X  X  0  X  0  X  X  X  0 2X  0 2X 2X 2X  X  X  X  0  X  X  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+32x^135+62x^138+44x^141+486x^142+36x^144+44x^147+8x^150+12x^153+2x^156+2x^213

The gray image is a linear code over GF(3) with n=213, k=6 and d=135.
This code was found by Heurico 1.16 in 0.0578 seconds.