The generator matrix

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

generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+130x^129+544x^132+806x^135+902x^138+1070x^141+1166x^144+866x^147+706x^150+220x^153+70x^156+22x^159+18x^162+6x^165+12x^168+10x^171+6x^174+4x^177+2x^180

The gray image is a linear code over GF(3) with n=213, k=8 and d=129.
This code was found by Heurico 1.16 in 0.882 seconds.