The generator matrix

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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+344x^159+1048x^162+162x^164+1234x^165+324x^166+1458x^167+1902x^168+1296x^169+3888x^170+2398x^171+1296x^172+1782x^173+1098x^174+504x^177+458x^180+270x^183+130x^186+80x^189+8x^192+2x^234

The gray image is a linear code over GF(3) with n=765, k=9 and d=477.
This code was found by Heurico 1.16 in 2.98 seconds.