The generator matrix

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

generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+914x^159+1814x^162+2500x^165+2780x^168+2646x^171+2552x^174+2286x^177+1940x^180+1228x^183+646x^186+260x^189+90x^192+16x^195+8x^198+2x^201

The gray image is a linear code over GF(3) with n=258, k=9 and d=159.
This code was found by Heurico 1.16 in 697 seconds.