The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+108x^173+60x^174+54x^176+6x^177+2x^180+6x^183+6x^189

The gray image is a linear code over GF(3) with n=261, k=5 and d=173.
This code was found by Heurico 1.16 in 0.178 seconds.