The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 2X 1 X 1 1 1 1 0 1 1 1 X 1 1 X X 1 2X 1 1 1 X 0 1 1 0 1 2X 1 1 1 1 1 0 1 2X 1 1 1 1 1 X 1 1 1 1 1 1 2X 1 0 1 2X 1 1 1 2X 1 2X 1 1 X 1 2X X 1 1 1 1 X 1 1 1 1 0 2X 1 1 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 0 1 2X+2 1 X 2X+1 2X+1 2X 2X 1 2X+2 2 1 2X+2 X 1 2X 1 1 X+2 2X 2X+1 1 1 1 X 0 2 X 0 2X+1 2X X+1 2X 1 2X+1 1 X+1 2X+2 X+2 1 2X+1 1 1 0 X+2 2X 2X+2 2X+1 1 2X+1 X X+2 0 X+2 X X 1 2X 1 2X 1 1 X 1 X 2X+2 X+2 0 X+2 2X 0 0 2X+1 X+2 1 1 X+2 0 0 0 1 1 2 2 2 1 2X 0 2X+1 2 2X+1 0 X+1 X+1 X+2 X+2 2X+2 2X 1 1 1 X 2X+2 0 X X+2 X+1 1 1 0 2X+2 1 2X+2 0 X+2 2X+2 1 1 X+1 1 2X+1 1 X 2X X X 2X 2 2 X+1 X+2 X+1 1 X+1 X 2X X 2 2X+2 2 1 2X 1 1 1 2X+1 1 X+1 X+2 X 2X+2 X+2 2 2 1 2 1 2X+2 0 2 X+1 1 2X+2 X 2 2 X+2 2 2X+2 0 0 0 0 2X 0 0 0 0 0 2X 2X X 2X 2X X 0 2X 2X 2X X 0 X 2X 0 0 0 2X 2X 2X 0 2X 0 X 0 X X 2X 2X 0 X X 0 0 X X X X 0 0 0 2X X 0 X X 0 2X X 2X X 0 2X X X X 0 2X X 0 2X X 0 X X X 0 2X X X X 0 X X 0 X X X 2X X 0 2X X 0 0 0 0 X 0 X 2X 2X 2X 2X 0 X X 2X X 2X 2X 0 2X X 0 2X X 2X X 0 X 0 X 0 0 X 2X 2X 0 X 2X X X 2X X 2X X X X 2X 2X 0 X 0 X 0 2X X 2X 2X 0 2X X 0 X 0 0 X 2X X 0 X 0 0 X X X 0 0 X X 2X X X 0 0 2X 2X X X 2X X 2X 0 0 0 0 0 0 0 2X X X 0 X 0 X X X 2X 2X 0 X 0 2X X 2X 0 X 0 X 2X 2X 2X 0 2X X 2X 2X X X 2X 2X 2X X X X X X X 0 0 2X 2X X X X 0 0 2X 0 0 0 2X 0 2X X 2X 2X 2X 0 0 2X 0 2X 2X 2X X X 2X X 0 0 2X X 2X 2X 0 0 2X 2X 2X 2X X 0 0 0 generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+118x^168+66x^169+126x^170+580x^171+228x^172+330x^173+1004x^174+468x^175+480x^176+1230x^177+564x^178+642x^179+1492x^180+588x^181+564x^182+1540x^183+630x^184+630x^185+1448x^186+612x^187+492x^188+1104x^189+444x^190+474x^191+1000x^192+396x^193+342x^194+758x^195+258x^196+186x^197+318x^198+90x^199+90x^200+228x^201+18x^202+6x^203+50x^204+12x^205+12x^206+38x^207+6x^210+12x^213+2x^216+2x^222+2x^225+2x^228 The gray image is a linear code over GF(3) with n=276, k=9 and d=168. This code was found by Heurico 1.16 in 9.4 seconds.