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  X  1  1  1 2X  X  1  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  1 2X 2X+2  1  1 X+1  2
 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  2 2X+2  0  X 2X+1  0 X+2 2X+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  X  X 2X 2X  0  0  X  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+446x^165+504x^168+454x^171+234x^174+198x^177+112x^180+94x^183+78x^186+36x^189+14x^192+12x^195+4x^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 1.16 in 0.28 seconds.