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

generates a code of length 83 over Z3[X]/(X^3) who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+1218x^160+1614x^161+1404x^162+2502x^163+2124x^164+844x^165+2022x^166+1500x^167+730x^168+1518x^169+1056x^170+506x^171+1050x^172+582x^173+308x^174+432x^175+252x^176+12x^177+6x^178+2x^186

The gray image is a linear code over GF(3) with n=747, k=9 and d=480.
This code was found by Heurico 1.16 in 12.4 seconds.