The generator matrix

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

generates a code of length 84 over Z3[X]/(X^3) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+76x^162+108x^163+1710x^164+288x^165+234x^166+1326x^167+234x^168+126x^169+702x^170+166x^171+126x^172+1170x^173+92x^174+54x^175+114x^176+24x^177+4x^180+2x^192+2x^198+2x^201

The gray image is a linear code over GF(3) with n=756, k=8 and d=486.
This code was found by Heurico 1.16 in 0.4 seconds.