The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 0 1 1 1 21 1 1 1 24 1 1 0 1 21 1 1 1 1 1 24 1 1 1 1 1 0 1 1 1 1 1 24 1 1 12 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 1 9 1 21 1 1 1 1 1 0 1 7 26 21 4 20 1 23 24 19 1 0 26 1 21 20 16 1 19 23 4 1 24 4 1 19 1 26 16 20 24 23 1 16 21 0 5 0 1 24 26 20 23 21 1 11 9 1 1 8 6 15 8 9 23 19 12 12 14 10 12 16 4 9 18 1 1 12 1 19 1 20 10 21 12 13 0 0 9 0 0 0 9 9 9 9 18 9 9 0 18 9 9 9 18 0 18 18 9 0 0 18 9 0 18 0 0 0 9 9 9 18 9 18 18 18 18 18 9 0 18 0 18 18 0 0 18 18 0 9 18 9 9 0 9 18 0 0 18 18 9 9 18 0 9 9 0 9 18 18 9 18 0 0 0 0 9 0 0 0 0 0 18 18 18 18 9 18 9 18 9 18 18 9 0 18 18 9 9 9 9 18 18 0 18 9 0 0 0 0 18 9 9 9 0 18 0 0 0 9 18 9 18 18 0 18 18 9 0 0 0 9 9 9 9 0 18 18 0 9 18 18 0 18 18 0 0 9 0 9 0 0 0 0 18 9 9 18 18 18 0 9 0 18 18 0 9 9 0 0 9 0 18 9 9 0 0 0 18 18 9 0 18 0 9 0 18 9 9 9 0 9 0 18 18 18 0 18 18 18 0 9 18 18 18 0 18 9 9 18 18 0 9 18 9 0 18 0 18 18 9 0 0 0 18 9 0 generates a code of length 77 over Z27 who´s minimum homogenous weight is 145. Homogenous weight enumerator: w(x)=1x^0+108x^145+348x^146+722x^147+918x^148+654x^149+1350x^150+1224x^151+714x^152+2778x^153+2172x^154+906x^155+2654x^156+1614x^157+900x^158+1374x^159+630x^160+270x^161+86x^162+72x^163+60x^164+4x^165+42x^166+30x^167+6x^168+18x^169+6x^170+4x^171+6x^172+2x^174+6x^177+2x^183+2x^198 The gray image is a code over GF(3) with n=693, k=9 and d=435. This code was found by Heurico 1.16 in 7.3 seconds.