The generator matrix 1 0 0 1 1 1 1 1 1 1 18 1 3 1 1 1 21 1 6 1 1 1 1 15 1 15 1 3 1 1 1 1 1 24 18 1 1 1 1 15 1 1 1 21 1 1 1 1 15 1 1 1 12 1 1 1 1 1 1 1 24 21 1 3 1 1 1 3 3 1 0 18 6 1 0 1 0 0 9 16 16 14 1 14 1 26 1 24 3 22 9 8 1 5 10 21 8 1 10 1 11 9 2 10 25 18 3 1 1 21 6 1 19 1 11 2 4 3 14 7 24 16 1 8 20 15 1 3 15 11 11 18 26 13 1 1 12 1 10 4 2 1 1 6 24 6 1 12 0 0 1 1 17 17 15 16 7 21 16 23 2 4 24 13 1 16 26 14 26 20 21 21 9 25 6 1 11 13 15 2 21 15 26 22 23 23 13 25 5 1 6 1 16 20 16 17 2 10 20 9 24 26 5 7 6 22 8 19 1 5 12 1 12 11 5 9 23 10 1 1 8 6 0 0 0 24 18 9 0 9 0 18 18 0 9 0 12 21 6 24 12 3 3 21 12 6 21 15 24 21 15 6 15 6 15 21 15 24 12 24 9 12 15 3 0 9 15 6 21 3 9 9 9 0 24 0 24 3 21 6 12 6 24 24 21 12 18 6 18 18 21 15 21 24 9 12 generates a code of length 74 over Z27 who´s minimum homogenous weight is 137. Homogenous weight enumerator: w(x)=1x^0+276x^137+746x^138+1986x^139+3594x^140+3860x^141+6654x^142+8778x^143+9444x^144+12420x^145+14106x^146+15346x^147+17610x^148+17178x^149+15316x^150+14724x^151+12552x^152+7928x^153+6816x^154+3948x^155+1776x^156+870x^157+642x^158+150x^159+90x^160+96x^161+78x^162+42x^163+42x^164+24x^165+18x^166+6x^167+6x^168+6x^169+12x^170+6x^173 The gray image is a code over GF(3) with n=666, k=11 and d=411. This code was found by Heurico 1.16 in 74.2 seconds.