The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+276x^167+246x^168+390x^170+150x^171+258x^173+102x^174+168x^176+56x^177+144x^179+60x^180+54x^182+38x^183+72x^185+22x^186+60x^188+24x^189+30x^191+22x^192+6x^194+6x^198+2x^207

The gray image is a linear code over GF(3) with n=261, k=7 and d=167.
This code was found by Heurico 1.16 in 7.25 seconds.