The generator matrix

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

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+228x^173+142x^174+156x^176+36x^177+48x^179+42x^180+30x^182+10x^183+6x^188+2x^189+12x^191+10x^192+6x^194

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 8.51 seconds.