The generator matrix

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

generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+210x^175+342x^176+698x^177+966x^178+1104x^179+1624x^180+2214x^181+2148x^182+2818x^183+3726x^184+3102x^185+4288x^186+5256x^187+4908x^188+5380x^189+6864x^190+5934x^191+7258x^192+8232x^193+6942x^194+8288x^195+9426x^196+7548x^197+8344x^198+8490x^199+7008x^200+7520x^201+8160x^202+5448x^203+5738x^204+5886x^205+3972x^206+3792x^207+3702x^208+2472x^209+1960x^210+1512x^211+1038x^212+950x^213+660x^214+390x^215+278x^216+276x^217+96x^218+58x^219+30x^220+30x^221+34x^222+6x^224+8x^225+6x^228+2x^231+2x^234+2x^243

The gray image is a linear code over GF(3) with n=294, k=11 and d=175.
This code was found by Heurico 1.16 in 839 seconds.