The generator matrix

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

generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+186x^166+162x^167+492x^168+864x^169+516x^170+1102x^171+1674x^172+798x^173+1640x^174+2220x^175+1200x^176+2016x^177+2736x^178+1620x^179+2558x^180+3486x^181+1926x^182+2400x^183+3408x^184+1944x^185+2366x^186+3696x^187+1812x^188+2714x^189+3372x^190+1410x^191+2104x^192+2364x^193+900x^194+1192x^195+1308x^196+468x^197+746x^198+642x^199+288x^200+214x^201+246x^202+60x^203+80x^204+36x^205+12x^206+30x^207+6x^208+6x^209+8x^210+6x^213+2x^216+4x^219+4x^222+2x^225+2x^228

The gray image is a linear code over GF(3) with n=276, k=10 and d=166.
This code was found by Heurico 1.16 in 77.4 seconds.