The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1 2X  1  1  1  1  0  1  1 2X^2+X  1  1  1  1  1  1 2X  1  1  1  1 2X^2+X  1  1  1  0  1 2X  1  1  1  1 2X^2+2X  1  1  1 2X^2  1  1  1  1 2X^2  1  1  1  1 2X  1 2X^2  1  1  1 2X^2+X  1 X^2+2X  1  X 2X^2+2X  1  1  1 2X^2  1  1  1  1  1  1  1  1  1  1 2X^2 2X^2+X  1  1  1
 0  1  1  2 2X^2+X 2X 2X^2+X+2  1 2X+2  1 2X^2+2X+1 X+1 2X^2 2X^2+2  1 2X^2+X+1 2X^2+2X  1  2 2X+1  1 2X+2  X 2X^2+X+2  1 2X 2X^2+2X+2 2X^2+X 2X^2+2X+1  1  2 2X^2+X 2X^2+2X+1  1 2X+1  1 2X^2+1 2X 2X^2+X+2 X^2+2X  1 2X+2 X^2+X X+1  1 X^2+X+1 X^2+X+2 2X^2+X 2X^2+2X  1 2X^2+X+1 2X^2+X+2 2X^2+2X+1  0  1 2X^2+2X+1  1 2X^2+2X X^2+X+2  2  1 X+1  1 X^2+2X+2  1  1  0 X^2+X+2 2X^2+X+2  1 X^2 X^2+1 X^2+X+1  2 X+2  0 X^2+1 2X^2+1 2X^2+X+1 X+2  1  1 2X^2+X+2 2X^2+1  0
 0  0 2X  0  0 X^2 2X^2 X^2  0 X^2 2X^2+2X 2X 2X^2+X X^2+X X^2+2X  X 2X^2+X 2X X^2+2X X^2+X  X 2X^2+2X 2X^2+X X^2+2X 2X^2+2X 2X 2X^2+X 2X^2+2X X^2+2X X^2+2X  0 2X^2 X^2 2X^2+2X X^2+X X^2 2X X^2+2X 2X^2+2X  X X^2+X 2X^2+2X 2X  0 2X^2+X 2X^2+X X^2+X X^2+X X^2 2X^2+2X  0 X^2 X^2 X^2 2X^2+2X  0  X  X 2X^2+X  X  0 2X^2 X^2 2X^2  X X^2+X 2X X^2+2X 2X^2+2X 2X^2+2X 2X 2X 2X^2+2X X^2+X  0 2X X^2+2X 2X^2 X^2 2X^2+2X  X X^2+2X 2X^2 2X^2+X 2X^2+2X
 0  0  0 X^2  0  0  0 2X^2 2X^2 X^2 2X^2 X^2 X^2  0  0 X^2  0 2X^2 2X^2  0 2X^2 X^2  0  0  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2  0 2X^2 2X^2 2X^2 X^2  0 X^2 X^2  0  0 2X^2 2X^2 X^2 X^2  0 2X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 X^2  0 2X^2 2X^2 X^2 2X^2  0  0  0 2X^2  0  0 2X^2  0 X^2 2X^2 2X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0
 0  0  0  0 2X^2 X^2 X^2  0 2X^2  0 2X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2 2X^2  0  0 X^2  0  0  0  0 2X^2 X^2 X^2 X^2  0  0 2X^2 2X^2 X^2  0 2X^2  0 X^2 2X^2  0 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2  0 2X^2 2X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0 2X^2 2X^2 X^2 X^2  0 2X^2 X^2 X^2  0  0 2X^2  0 2X^2 2X^2 X^2 2X^2 X^2  0  0 2X^2  0  0  0 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+234x^159+192x^160+468x^161+1546x^162+1926x^163+2052x^164+2924x^165+3444x^166+3648x^167+3766x^168+5982x^169+4722x^170+5474x^171+6564x^172+4590x^173+3948x^174+3072x^175+1674x^176+1212x^177+492x^178+222x^179+278x^180+84x^181+66x^182+144x^183+66x^184+42x^185+72x^186+30x^187+6x^188+68x^189+12x^190+6x^191+4x^192+6x^193+8x^195+2x^198+2x^207

The gray image is a linear code over GF(3) with n=765, k=10 and d=477.
This code was found by Heurico 1.16 in 13.1 seconds.