The generator matrix

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

generates a code of length 84 over Z3[X]/(X^3) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+166x^159+456x^160+468x^161+796x^162+1416x^163+1044x^164+1374x^165+1356x^166+1458x^167+1746x^168+1872x^169+1854x^170+1722x^171+1572x^172+954x^173+618x^174+414x^175+54x^176+86x^177+102x^178+26x^180+90x^181+2x^183+12x^184+8x^186+2x^189+4x^192+8x^195+2x^204

The gray image is a linear code over GF(3) with n=756, k=9 and d=477.
This code was found by Heurico 1.16 in 1.7 seconds.