The generator matrix

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

generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+260x^168+162x^171+160x^174+82x^177+62x^180+2x^246

The gray image is a linear code over GF(3) with n=258, k=6 and d=168.
This code was found by Heurico 1.16 in 0.638 seconds.