The generator matrix 1 0 0 0 1 1 1 18 1 1 1 1 1 1 1 1 1 12 1 24 1 24 6 1 21 12 1 1 1 1 9 0 1 24 1 1 1 1 1 1 21 1 21 1 24 18 1 1 24 1 1 1 15 18 1 1 1 21 1 1 1 1 1 1 9 1 1 1 1 1 18 12 1 1 1 1 0 1 0 0 18 1 19 1 18 0 26 23 22 7 12 25 17 1 6 1 15 12 1 24 1 1 4 11 5 19 21 1 20 1 14 26 3 10 8 7 1 7 21 4 1 1 9 21 1 12 13 19 21 1 5 7 14 1 11 18 1 21 20 10 1 21 17 20 18 20 1 1 20 10 2 9 0 0 1 0 16 25 14 7 4 23 12 13 11 15 24 21 14 10 20 17 17 1 2 18 11 25 21 3 25 10 1 6 23 18 0 2 13 26 25 7 22 11 18 8 14 1 10 23 3 6 6 18 1 3 5 22 6 23 14 26 2 13 22 25 19 12 18 26 6 15 6 17 5 5 13 18 0 0 0 1 14 9 5 5 22 24 1 6 16 13 17 21 2 9 19 17 14 7 1 4 24 13 26 0 26 13 8 11 19 7 23 15 3 9 13 26 17 14 1 13 11 16 2 11 26 11 3 2 2 13 21 20 6 12 11 10 26 24 1 12 3 16 25 13 17 20 22 2 7 6 15 21 generates a code of length 76 over Z27 who´s minimum homogenous weight is 140. Homogenous weight enumerator: w(x)=1x^0+792x^140+1296x^141+4224x^142+6660x^143+8528x^144+14826x^145+18054x^146+20680x^147+34518x^148+33300x^149+37658x^150+51732x^151+48210x^152+47992x^153+54624x^154+41988x^155+32046x^156+31506x^157+19068x^158+9952x^159+7638x^160+3606x^161+1400x^162+588x^163+276x^164+56x^165+36x^166+48x^167+18x^168+36x^169+24x^170+12x^171+18x^172+18x^173+12x^174 The gray image is a code over GF(3) with n=684, k=12 and d=420. This code was found by Heurico 1.16 in 649 seconds.