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

generates a code of length 84 over Z3[X]/(X^3) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+306x^161+576x^162+1806x^163+2124x^164+1752x^165+2184x^166+1242x^167+1242x^168+1938x^169+1206x^170+816x^171+1110x^172+1134x^173+534x^174+660x^175+450x^176+328x^177+240x^178+18x^179+8x^180+2x^186+6x^192

The gray image is a linear code over GF(3) with n=756, k=9 and d=483.
This code was found by Heurico 1.16 in 1.21 seconds.