The generator matrix

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

generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+76x^159+270x^160+192x^161+424x^162+546x^163+258x^164+332x^165+468x^166+270x^167+342x^168+384x^169+186x^170+310x^171+408x^172+198x^173+194x^174+264x^175+120x^176+176x^177+198x^178+90x^179+148x^180+204x^181+84x^182+68x^183+78x^184+42x^185+52x^186+66x^187+18x^188+62x^189+30x^190+2x^195

The gray image is a linear code over GF(3) with n=255, k=8 and d=159.
This code was found by Heurico 1.16 in 0.875 seconds.