The generator matrix

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

generates a code of length 71 over Z3[X]/(X^3) who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+312x^136+414x^137+364x^138+630x^139+936x^140+330x^141+678x^142+864x^143+314x^144+426x^145+612x^146+158x^147+348x^148+90x^149+42x^150+24x^151+12x^157+4x^168+2x^177

The gray image is a linear code over GF(3) with n=639, k=8 and d=408.
This code was found by Heurico 1.16 in 0.548 seconds.