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

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+444x^164+294x^165+690x^167+432x^168+732x^170+342x^171+750x^173+362x^174+522x^176+210x^177+420x^179+162x^180+282x^182+148x^183+210x^185+108x^186+156x^188+74x^189+108x^191+22x^192+54x^194+24x^195+6x^197+6x^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 1.95 seconds.