The generator matrix

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

generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+1350x^158+1680x^159+960x^160+2580x^161+2208x^162+918x^163+1962x^164+1638x^165+642x^166+1416x^167+1152x^168+354x^169+1452x^170+606x^171+180x^172+300x^173+246x^174+24x^175+6x^176+2x^180+6x^182

The gray image is a linear code over GF(3) with n=738, k=9 and d=474.
This code was found by Heurico 1.16 in 47.8 seconds.