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

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+128x^159+198x^160+252x^161+454x^162+288x^163+510x^164+770x^165+684x^166+1200x^167+2150x^168+1596x^169+2508x^170+3648x^171+1536x^172+1344x^173+766x^174+144x^175+204x^176+164x^177+180x^178+114x^179+206x^180+102x^181+72x^182+114x^183+90x^184+90x^185+48x^186+42x^187+24x^188+42x^189+12x^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 2.85 seconds.