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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+204x^168+24x^169+24x^170+440x^171+156x^172+138x^173+592x^174+282x^175+318x^176+980x^177+396x^178+396x^179+1064x^180+534x^181+618x^182+1362x^183+570x^184+714x^185+1552x^186+780x^187+846x^188+1542x^189+606x^190+654x^191+1284x^192+516x^193+408x^194+930x^195+342x^196+192x^197+456x^198+108x^199+48x^200+206x^201+36x^202+18x^203+110x^204+24x^205+64x^207+42x^210+50x^213+20x^216+18x^219+6x^222+4x^225+6x^228+2x^231

The gray image is a linear code over GF(3) with n=279, k=9 and d=168.
This code was found by Heurico 1.16 in 47 seconds.