The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 0 X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 X 1 0 X 1 X 1 1 0 1 1 0 1 1 1 0 X 2X 0 X+3 2X 6 X+3 2X+6 0 X+3 2X 3 X+6 2X+3 2X X+3 0 3 2X X 2X+6 3 X+3 X 0 2X 0 2X+6 X+6 0 X+3 2X+3 X 2X 6 X+3 0 X+3 6 2X+6 2X 6 X 6 X+6 X 3 2X 2X+6 3 X+3 X+3 2X+3 2X+3 2X 2X X X+3 3 X+3 X+3 3 X+6 2X+6 3 2X 2X+6 2X 2X+6 X X 3 6 2X+3 X 0 2X+3 X X+3 X X+3 2X 3 X 0 X+3 X 3 X+3 0 0 0 6 0 0 0 0 0 3 0 3 3 0 6 0 6 6 0 0 6 0 6 0 3 6 6 0 6 3 6 3 3 6 6 0 6 6 3 0 6 6 0 6 0 6 3 0 6 6 3 3 6 3 6 3 0 6 0 6 3 0 0 6 3 6 6 3 0 0 3 6 0 0 6 3 3 6 6 6 0 3 0 6 3 6 0 0 0 0 6 6 0 0 0 6 0 0 3 0 0 6 3 3 6 6 6 0 3 3 6 6 6 6 3 0 6 6 6 0 6 6 3 0 0 3 0 3 0 6 3 3 3 3 0 6 6 0 0 0 0 6 6 3 3 6 6 3 0 0 3 6 3 3 3 3 3 0 0 3 6 3 3 3 6 6 3 3 3 0 6 0 3 3 6 6 0 3 0 0 0 0 3 0 0 0 0 3 0 0 6 0 3 3 6 6 3 3 6 6 0 6 0 3 6 3 6 6 0 6 6 0 0 6 6 6 6 0 6 3 0 6 3 3 0 0 3 0 3 0 3 0 3 0 6 3 3 0 0 3 3 0 6 3 0 0 6 6 6 0 3 3 3 0 3 3 0 0 3 3 0 0 3 6 0 3 6 6 6 0 0 6 6 3 0 0 0 0 0 6 0 0 3 3 0 3 6 0 6 3 6 6 3 3 6 6 0 0 3 0 6 0 0 3 0 3 6 0 3 6 3 3 6 6 3 0 6 3 6 0 6 0 3 0 0 3 6 6 6 6 3 6 6 6 6 0 6 0 6 6 3 3 0 0 0 0 0 3 0 3 3 6 3 3 3 6 0 0 0 3 3 6 0 3 0 generates a code of length 91 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+108x^168+90x^170+344x^171+66x^172+150x^173+554x^174+132x^175+216x^176+1342x^177+708x^178+216x^179+3152x^180+2268x^181+204x^182+3802x^183+2334x^184+186x^185+2184x^186+210x^187+144x^188+334x^189+96x^190+114x^191+248x^192+18x^193+78x^194+134x^195+36x^197+94x^198+18x^200+50x^201+6x^203+12x^204+4x^207+6x^210+14x^213+4x^216+2x^219+2x^222+2x^240 The gray image is a code over GF(3) with n=819, k=9 and d=504. This code was found by Heurico 1.16 in 3.82 seconds.