The generator matrix

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

generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+318x^156+576x^157+702x^158+1282x^159+1800x^160+1026x^161+1554x^162+2592x^163+990x^164+1776x^165+1962x^166+972x^167+942x^168+1548x^169+594x^170+422x^171+270x^172+90x^173+96x^174+84x^177+34x^180+24x^183+14x^186+12x^189+2x^198

The gray image is a linear code over GF(3) with n=738, k=9 and d=468.
This code was found by Heurico 1.16 in 1.79 seconds.