The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+54x^175+16x^177+8x^180+2x^186

The gray image is a linear code over GF(3) with n=261, k=4 and d=175.
This code was found by Heurico 1.16 in 15.6 seconds.