The generator matrix 1 0 1 1 1 1 21 1 1 24 1 1 1 0 1 1 18 1 3 15 1 1 1 1 1 1 1 1 1 1 1 1 21 1 1 1 1 1 1 21 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 26 21 20 1 24 23 1 16 4 0 1 24 25 1 2 1 1 17 22 21 1 14 16 2 0 20 9 22 24 1 4 15 26 25 8 9 1 23 22 25 1 20 19 22 15 8 9 1 24 8 10 23 20 21 8 14 11 0 0 0 24 0 18 18 18 0 18 18 15 24 6 24 6 21 3 3 12 12 12 21 15 3 12 18 12 9 15 15 3 9 15 9 21 24 6 18 12 0 9 24 21 0 24 9 3 6 15 3 0 0 21 24 21 9 3 6 24 12 0 0 0 0 9 9 0 18 18 18 9 18 9 18 9 0 18 9 18 0 18 0 9 9 0 9 9 0 18 18 0 0 0 18 18 9 9 0 0 9 0 9 0 9 18 9 0 18 9 0 0 18 9 18 9 0 9 0 0 18 9 0 generates a code of length 61 over Z27 who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+236x^114+180x^115+648x^116+1476x^117+792x^118+1692x^119+2064x^120+1422x^121+2484x^122+2138x^123+1386x^124+1944x^125+1528x^126+558x^127+522x^128+354x^129+36x^130+92x^132+80x^135+48x^138+2x^153 The gray image is a code over GF(3) with n=549, k=9 and d=342. This code was found by Heurico 1.16 in 1.08 seconds.