The generator matrix

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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+156x^161+324x^162+594x^163+1128x^164+900x^165+1332x^166+1254x^167+1072x^168+1800x^169+2076x^170+1322x^171+2376x^172+1692x^173+1024x^174+990x^175+786x^176+368x^177+198x^178+108x^179+48x^180+60x^182+12x^183+30x^185+14x^186+2x^189+2x^192+4x^198+4x^201+2x^204+2x^210+2x^213

The gray image is a linear code over GF(3) with n=765, k=9 and d=483.
This code was found by Heurico 1.16 in 2.18 seconds.