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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+426x^162+288x^163+828x^164+1490x^165+1422x^166+1368x^167+1952x^168+1692x^169+1476x^170+1972x^171+1260x^172+1386x^173+1372x^174+846x^175+684x^176+562x^177+306x^178+90x^179+68x^180+18x^181+60x^183+60x^186+42x^189+12x^192+2x^198

The gray image is a linear code over GF(3) with n=765, k=9 and d=486.
This code was found by Heurico 1.16 in 1.9 seconds.