The generator matrix

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

generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+58x^168+12x^169+24x^170+192x^171+78x^172+108x^173+420x^174+168x^175+246x^176+716x^177+378x^178+312x^179+1060x^180+360x^181+510x^182+1078x^183+570x^184+642x^185+1570x^186+690x^187+708x^188+1820x^189+648x^190+630x^191+1544x^192+606x^193+480x^194+1080x^195+498x^196+378x^197+634x^198+210x^199+198x^200+336x^201+114x^202+90x^203+180x^204+42x^205+36x^206+58x^207+12x^209+52x^210+50x^213+34x^216+24x^219+14x^222+6x^225+2x^228+4x^231+2x^234

The gray image is a linear code over GF(3) with n=282, k=9 and d=168.
This code was found by Heurico 1.16 in 11.1 seconds.