The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+462x^164+282x^165+690x^167+426x^168+720x^170+396x^171+678x^173+340x^174+600x^176+198x^177+408x^179+152x^180+276x^182+144x^183+204x^185+102x^186+198x^188+100x^189+78x^191+24x^192+54x^194+12x^195+6x^197+8x^198+2x^201

The gray image is a linear code over GF(3) with n=261, k=8 and d=164.
This code was found by Heurico 1.16 in 3.81 seconds.