The generator matrix

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

generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+304x^186+564x^189+360x^192+304x^195+156x^198+150x^201+228x^204+88x^207+12x^210+6x^213+2x^216+2x^222+6x^225+2x^234+2x^240

The gray image is a linear code over GF(3) with n=291, k=7 and d=186.
This code was found by Heurico 1.16 in 0.293 seconds.