The generator matrix

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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+130x^165+252x^166+480x^167+892x^168+1176x^169+1416x^170+2246x^171+2052x^172+2274x^173+3848x^174+3156x^175+3966x^176+5794x^177+4524x^178+4998x^179+7776x^180+6222x^181+6402x^182+9184x^183+6990x^184+7422x^185+10806x^186+7734x^187+7350x^188+10354x^189+7044x^190+6894x^191+8850x^192+5514x^193+5328x^194+6006x^195+4074x^196+3276x^197+3618x^198+2328x^199+1746x^200+1830x^201+990x^202+678x^203+598x^204+366x^205+240x^206+182x^207+66x^208+18x^209+40x^210+4x^213+6x^216+2x^219+2x^231+2x^246

The gray image is a linear code over GF(3) with n=279, k=11 and d=165.
This code was found by Heurico 1.16 in 788 seconds.