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

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+312x^167+172x^168+360x^170+202x^171+288x^173+124x^174+126x^176+88x^177+144x^179+46x^180+42x^182+44x^183+66x^185+22x^186+72x^188+6x^189+30x^191+10x^192+18x^194+6x^195+6x^198+2x^210

The gray image is a linear code over GF(3) with n=261, k=7 and d=167.
This code was found by Heurico 1.13 in 35.6 seconds.