The generator matrix

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

generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+108x^173+102x^174+324x^176+108x^177+24x^180+54x^182+4x^183+2x^189+2x^237

The gray image is a linear code over GF(3) with n=264, k=6 and d=173.
This code was found by Heurico 1.16 in 0.129 seconds.