The generator matrix

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

generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+104x^177+138x^179+262x^180+432x^182+382x^183+732x^185+418x^186+1176x^188+646x^189+1704x^191+822x^192+1830x^194+896x^195+2112x^197+844x^198+1980x^200+786x^201+1524x^203+534x^204+912x^206+338x^207+414x^209+190x^210+126x^212+94x^213+36x^215+54x^216+6x^218+58x^219+50x^222+36x^225+28x^228+8x^231+4x^234+2x^237+2x^240+2x^243

The gray image is a linear code over GF(3) with n=294, k=9 and d=177.
This code was found by Heurico 1.16 in 11.9 seconds.