The generator matrix

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

generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+156x^155+306x^156+540x^157+870x^158+1378x^159+1044x^160+1182x^161+1738x^162+1386x^163+1380x^164+2454x^165+1836x^166+1428x^167+1738x^168+846x^169+606x^170+296x^171+180x^172+138x^173+58x^174+24x^176+28x^177+48x^179+8x^180+4x^183+6x^195+2x^201+2x^210

The gray image is a linear code over GF(3) with n=738, k=9 and d=465.
This code was found by Heurico 1.16 in 1.65 seconds.