The generator matrix

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

generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+404x^165+612x^168+386x^171+242x^174+162x^177+134x^180+118x^183+42x^186+64x^189+8x^192+12x^195+2x^201

The gray image is a linear code over GF(3) with n=258, k=7 and d=165.
This code was found by Heurico 1.13 in 0.176 seconds.