The generator matrix

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

generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+276x^164+154x^165+228x^167+192x^168+264x^170+114x^171+252x^173+78x^174+138x^176+28x^177+108x^179+96x^180+102x^182+16x^183+48x^185+28x^186+42x^188+8x^189+2x^192+4x^195+6x^198+2x^210

The gray image is a linear code over GF(3) with n=258, k=7 and d=164.
This code was found by Heurico 1.16 in 91.3 seconds.