The generator matrix 1 0 0 1 1 1 1 1 1 1 18 1 3 1 1 1 18 1 6 1 1 0 6 1 1 1 1 1 1 1 1 3 1 1 1 1 9 1 1 1 1 24 15 1 1 1 1 1 21 1 1 1 1 24 15 9 1 1 9 1 1 1 1 3 12 1 18 1 1 1 1 24 1 0 1 0 0 9 16 16 14 1 14 1 26 1 24 0 18 15 26 1 25 25 1 1 8 22 17 9 13 14 16 19 24 5 24 5 12 1 25 9 5 21 1 1 4 19 2 17 21 9 25 19 20 4 1 1 1 24 9 24 3 14 24 26 12 1 1 1 12 19 19 1 1 25 0 0 1 1 17 17 15 16 7 21 16 23 2 4 23 18 1 11 1 7 17 20 12 25 9 6 14 22 10 15 26 1 24 20 5 21 8 0 8 23 13 13 0 7 24 3 23 22 1 13 3 7 2 13 14 13 25 24 1 9 8 8 9 1 21 22 12 4 6 5 4 2 23 0 0 0 24 18 9 0 9 0 18 18 0 9 0 9 12 3 3 12 21 6 3 21 6 3 12 21 24 3 24 21 15 6 15 15 15 6 9 3 12 9 24 6 12 12 0 15 21 0 24 18 9 6 12 9 15 3 15 0 18 24 12 6 24 18 18 12 12 24 0 6 21 3 generates a code of length 73 over Z27 who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+320x^135+666x^136+1458x^137+3818x^138+4782x^139+5436x^140+9486x^141+9672x^142+10506x^143+16192x^144+16056x^145+14382x^146+19336x^147+16752x^148+12138x^149+14088x^150+8892x^151+5088x^152+4322x^153+1728x^154+882x^155+516x^156+210x^157+78x^158+138x^159+12x^160+66x^161+42x^162+36x^163+18x^164+24x^165+6x^167 The gray image is a code over GF(3) with n=657, k=11 and d=405. This code was found by Heurico 1.16 in 72.9 seconds.