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 3 1 1 1 3 1 1 1 1 1 3 1 1 1 1 3 3 1 1 3 1 1 3 3 1 1 1 1 0 3 0 0 24 21 3 15 24 21 18 0 21 15 9 24 24 21 18 21 9 24 18 3 21 15 0 21 12 15 15 18 15 15 3 12 6 0 3 18 18 24 0 21 3 24 24 21 3 3 15 21 18 15 21 12 9 3 18 18 3 15 24 24 24 15 21 0 6 24 24 21 0 6 9 0 0 3 24 0 15 3 21 6 6 21 0 3 21 15 9 6 18 21 24 0 18 6 9 21 6 0 15 0 3 9 15 24 6 9 24 21 12 3 3 18 9 6 9 21 12 15 6 15 21 6 18 9 0 6 3 0 3 12 3 9 24 15 0 24 3 24 12 9 15 18 21 24 9 18 0 0 0 9 0 0 0 18 0 9 18 9 18 9 18 0 9 0 18 0 9 9 0 0 9 18 9 18 9 9 9 9 18 0 18 18 18 0 0 9 18 9 9 18 0 0 9 18 9 9 18 18 18 0 9 18 18 9 18 0 9 9 0 0 0 0 9 9 9 18 0 9 0 18 0 0 0 0 0 9 18 9 0 18 0 18 9 0 0 0 0 9 18 0 0 0 9 18 9 9 18 18 18 18 18 18 18 9 0 9 0 9 18 0 9 18 0 9 0 18 18 18 18 9 0 0 18 9 18 18 18 0 0 9 9 0 0 18 18 9 0 9 18 0 9 0 18 9 18 9 generates a code of length 75 over Z27 who´s minimum homogenous weight is 139. Homogenous weight enumerator: w(x)=1x^0+174x^139+258x^140+94x^141+444x^142+462x^143+232x^144+1134x^145+354x^146+780x^147+3060x^148+618x^149+2840x^150+4740x^151+414x^152+956x^153+1428x^154+288x^155+84x^156+294x^157+252x^158+70x^159+180x^160+126x^161+24x^162+156x^163+96x^164+14x^165+48x^166+42x^167+2x^168+6x^170+2x^171+2x^174+6x^175+2x^201 The gray image is a code over GF(3) with n=675, k=9 and d=417. This code was found by Heurico 1.16 in 2.69 seconds.