The generator matrix

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

generates a code of length 86 over Z3[X]/(X^3) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+252x^163+462x^164+430x^165+1128x^166+792x^167+1014x^168+1722x^169+1104x^170+1818x^171+1962x^172+1350x^173+1824x^174+2046x^175+1152x^176+918x^177+918x^178+360x^179+40x^180+138x^181+96x^182+10x^183+48x^184+18x^185+12x^186+42x^187+12x^188+2x^189+6x^190+2x^192+2x^207+2x^210

The gray image is a linear code over GF(3) with n=774, k=9 and d=489.
This code was found by Heurico 1.16 in 67.6 seconds.