The generator matrix

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

generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+324x^162+672x^163+474x^164+1120x^165+1974x^166+1428x^167+2330x^168+3312x^169+1950x^170+3740x^171+5556x^172+3060x^173+5272x^174+7680x^175+4338x^176+6612x^177+9678x^178+4992x^179+8008x^180+11292x^181+5826x^182+8408x^183+11832x^184+5730x^185+8226x^186+10710x^187+4872x^188+6578x^189+7602x^190+3396x^191+4440x^192+4884x^193+2022x^194+2346x^195+2226x^196+876x^197+1168x^198+930x^199+312x^200+356x^201+306x^202+90x^203+76x^204+48x^205+20x^207+30x^208+4x^210+6x^213+6x^216+2x^219+4x^222+2x^231

The gray image is a linear code over GF(3) with n=273, k=11 and d=162.
This code was found by Heurico 1.16 in 802 seconds.