The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 1 1 1 2X 1 2X 1 1 X 1 X 1 1 1 1 1 1 X 0 0 1 2X 1 1 1 1 0 1 1 1 1 2X 1 1 2X 1 1 1 2X 1 1 1 1 1 1 1 1 1 1 1 0 1 2X 1 1 1 1 1 2X 1 1 1 1 1 1 2X 1 1 1 2X 1 1 1 X 1 1 1 X 1 0 1 0 0 0 1 2 1 2X+1 1 1 2 2X+2 2 2X+2 1 X+1 1 X 2X+1 0 X 1 X+2 2X 1 2X+1 2 X 1 1 1 X+1 2X X 2 2X+2 0 1 2X X+1 2X+2 X+1 X X+2 2 1 1 0 X+1 1 0 2X+1 X+1 X+2 2 X 1 X+1 X X+2 0 0 0 1 X 2 X X+2 2X+2 0 2X 2X 2X X X+1 2X+2 1 1 2X+2 2X+2 1 X+2 2X+2 0 1 1 2X X+1 1 2 0 0 1 1 2 2 X+2 X+1 2X 2X+1 2 0 2X+1 X+2 0 X+2 2X+1 2X+1 X 2 1 X+2 0 2X+1 1 X 2 2 2X+2 2 0 1 2X+1 1 1 X 2X+1 X 2X+1 2 2X 2X+2 1 1 0 X+2 2X 2X 0 X 1 2X+1 0 2 2X+1 2X X+1 1 2X+1 1 0 2X 1 X+2 X 2X X+2 1 1 2X+2 1 1 X+2 1 2X X+1 2 2X+1 2 X+1 2X 2X+2 2X 0 X+2 X 2X+1 0 2 2X+2 X 0 0 0 2X 0 0 0 2X 0 2X 2X 0 X 2X X X X 0 X X X 2X 2X X X 2X 0 X X X 2X 2X 0 2X 2X X 0 X X X 0 0 X 0 0 2X 0 2X X 0 0 0 2X 2X X 2X X 0 0 0 2X 0 2X 2X 2X 2X X 2X X 2X 0 0 2X 2X 0 2X 0 2X 2X 2X 2X X X 0 2X X 2X X X X 0 0 0 0 0 X 0 2X 0 0 2X 2X X X X 0 2X 0 0 2X X 2X 2X 2X X 0 X X 2X 2X 0 X X X 0 0 X 0 0 0 X 0 0 2X X 2X X X X 2X X 2X X 0 X 2X 2X X 2X 0 2X 0 2X X X X X X 2X 0 2X 0 X 0 2X X 2X 0 0 0 X 2X X 0 2X 2X 2X X X X X X 0 0 0 0 0 2X X 0 0 2X 2X 2X 2X 2X 0 0 X 2X X 2X X 2X X 0 0 0 2X X 0 2X 0 X 0 2X 2X 0 2X 0 2X 0 2X X 2X X 2X 0 0 2X 2X X 2X X X 0 2X 2X 2X 0 0 2X 2X 0 2X X 2X 0 2X 2X 0 0 X 2X 2X 0 2X 0 0 X 0 X X X 2X 0 0 2X X X 0 0 X generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 167. Homogenous weight enumerator: w(x)=1x^0+162x^167+256x^168+162x^169+612x^170+552x^171+414x^172+828x^173+692x^174+552x^175+1182x^176+806x^177+588x^178+1098x^179+926x^180+654x^181+1110x^182+924x^183+576x^184+1266x^185+712x^186+564x^187+924x^188+808x^189+432x^190+714x^191+394x^192+210x^193+456x^194+282x^195+144x^196+276x^197+108x^198+66x^199+102x^200+38x^201+12x^202+12x^203+8x^204+6x^206+16x^207+16x^210+6x^213+10x^216+6x^219 The gray image is a linear code over GF(3) with n=273, k=9 and d=167. This code was found by Heurico 1.16 in 9.53 seconds.