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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 18 18 9 18 18 9 9 9 0 9 9 9 18 0 0 18 9 9 18 0 18 0 9 9 9 18 0 0 9 9 18 0 9 0 0 0 18 9 9 18 0 18 9 0 0 18 9 0 9 9 18 18 9 0 18 9 18 0 9 9 9 9 9 9 0 18 0 18 0 9 18 0 18 0 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 0 9 9 18 18 0 9 9 18 18 18 18 18 18 9 18 0 9 18 0 18 0 9 9 0 18 0 9 9 9 9 0 18 0 0 9 9 9 0 9 18 0 9 18 0 9 18 18 9 9 0 18 18 0 0 0 18 9 0 18 0 0 18 0 9 9 0 9 9 18 0 0 18 18 9 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 9 18 18 18 0 9 9 0 18 9 0 0 0 9 9 9 18 18 18 0 9 0 0 18 18 0 18 9 9 0 9 0 9 18 0 0 9 9 18 9 18 18 0 9 9 0 9 9 9 9 18 18 18 18 9 0 18 9 0 18 0 9 0 0 18 9 18 0 0 18 18 18 18 0 18 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 18 9 0 18 18 9 0 0 0 9 0 0 18 9 9 9 0 0 18 0 18 18 18 0 18 9 9 18 0 9 18 9 9 18 18 9 9 0 9 18 0 18 0 9 0 9 0 18 18 9 18 0 18 0 18 9 18 0 18 18 0 18 9 0 9 9 18 18 18 0 9 0 18 18 18 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 0 18 9 9 18 18 9 0 0 18 18 18 18 0 0 18 9 0 18 0 18 9 18 0 9 9 9 18 9 18 18 0 0 18 0 18 0 18 9 0 9 18 9 9 18 0 0 0 18 9 9 0 9 0 9 9 9 0 18 0 9 9 9 18 0 18 9 18 9 18 18 0 0 0 0 0 0 9 18 18 18 18 18 18 9 9 9 0 18 0 0 9 0 18 9 9 9 9 18 0 0 9 18 0 9 18 18 9 9 18 18 0 9 18 9 0 9 0 9 18 9 9 9 9 0 9 18 18 18 9 0 18 18 18 18 18 9 0 9 9 0 9 18 9 9 18 0 9 0 0 18 18 0 9 9 9 9 0 18 18 0 0 0 18 generates a code of length 93 over Z27 who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+144x^168+178x^171+184x^174+242x^177+400x^180+1150x^183+15226x^186+1418x^189+118x^192+144x^195+94x^198+90x^201+86x^204+60x^207+66x^210+30x^213+32x^216+12x^219+4x^222+2x^225+2x^270 The gray image is a code over GF(3) with n=837, k=9 and d=504. This code was found by Heurico 1.16 in 5.81 seconds.