The generator matrix

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

generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+120x^163+198x^164+608x^165+924x^166+1026x^167+1364x^168+2220x^169+1908x^170+2804x^171+3330x^172+3354x^173+3992x^174+5100x^175+4536x^176+5618x^177+7068x^178+6192x^179+7502x^180+8646x^181+7092x^182+8218x^183+9396x^184+7854x^185+8782x^186+9504x^187+7278x^188+7798x^189+7902x^190+5730x^191+5864x^192+5640x^193+3816x^194+3886x^195+3180x^196+2178x^197+1600x^198+1794x^199+894x^200+662x^201+582x^202+318x^203+246x^204+168x^205+102x^206+60x^207+24x^208+12x^209+20x^210+12x^211+10x^213+6x^216+2x^219+2x^222+2x^225+2x^228

The gray image is a linear code over GF(3) with n=276, k=11 and d=163.
This code was found by Heurico 1.16 in 776 seconds.