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

generates a code of length 83 over Z3[X]/(X^3) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+342x^159+516x^160+1986x^161+1850x^162+1746x^163+2190x^164+1462x^165+1182x^166+1608x^167+1318x^168+966x^169+1368x^170+1032x^171+540x^172+750x^173+246x^174+222x^175+198x^176+140x^177+6x^180+6x^181+2x^183+6x^184

The gray image is a linear code over GF(3) with n=747, k=9 and d=477.
This code was found by Heurico 1.16 in 1.21 seconds.