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 3 1 1 1 3 0 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 0 3 1 3 1 1 0 1 1 0 1 1 1 0 3 24 0 21 24 9 21 6 0 21 24 18 12 15 24 21 0 18 24 3 6 18 21 3 0 24 0 6 12 0 21 15 3 24 9 21 0 21 9 6 24 9 3 9 12 3 18 24 6 18 21 21 15 15 24 24 3 21 18 21 21 18 12 6 18 24 6 24 6 3 3 18 9 15 3 0 15 3 21 3 21 24 18 3 0 21 3 18 21 0 0 0 9 0 0 0 0 0 18 0 18 18 0 9 0 9 9 0 0 9 0 9 0 18 9 9 0 9 18 9 18 18 9 9 0 9 9 18 0 9 9 0 9 0 9 18 0 9 9 18 18 9 18 9 18 0 9 0 9 18 0 0 9 18 9 9 18 0 0 18 9 0 0 9 18 18 9 9 9 0 18 0 9 18 9 0 0 0 0 9 9 0 0 0 9 0 0 18 0 0 9 18 18 9 9 9 0 18 18 9 9 9 9 18 0 9 9 9 0 9 9 18 0 0 18 0 18 0 9 18 18 18 18 0 9 9 0 0 0 0 9 9 18 18 9 9 18 0 0 18 9 18 18 18 18 18 0 0 18 9 18 18 18 9 9 18 18 18 0 9 0 18 18 9 9 0 18 0 0 0 0 18 0 0 0 0 18 0 0 9 0 18 18 9 9 18 18 9 9 0 9 0 18 9 18 9 9 0 9 9 0 0 9 9 9 9 0 9 18 0 9 18 18 0 0 18 0 18 0 18 0 18 0 9 18 18 0 0 18 18 0 9 18 0 0 9 9 9 0 18 18 18 0 18 18 0 0 18 18 0 0 18 9 0 18 9 9 9 0 0 9 9 18 0 0 0 0 0 9 0 0 18 18 0 18 9 0 9 18 9 9 18 18 9 9 0 0 18 0 9 0 0 18 0 18 9 0 18 9 18 18 9 9 18 0 9 18 9 0 9 0 18 0 0 18 9 9 9 9 18 9 9 9 9 0 9 0 9 9 18 18 0 0 0 0 0 18 0 18 18 9 18 18 18 9 0 0 0 18 18 9 0 18 0 generates a code of length 91 over Z27 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 3.76 seconds.