The generator matrix

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

generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+492x^159+1248x^160+1028x^162+996x^163+288x^165+810x^166+612x^168+768x^169+240x^171+66x^172+6x^177+6x^195

The gray image is a linear code over GF(3) with n=738, k=8 and d=477.
This code was found by Heurico 1.16 in 0.376 seconds.