The generator matrix 1 0 1 1 1 1 1 1 18 1 21 1 1 0 1 1 1 1 6 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 6 21 24 1 1 1 1 1 1 1 1 6 3 24 1 1 1 1 1 1 1 0 0 1 1 26 18 17 0 25 1 20 1 21 20 1 5 4 24 3 1 4 22 21 6 5 1 6 16 2 26 19 19 16 18 25 1 1 1 6 15 26 14 5 17 4 7 1 1 1 25 10 14 2 14 14 9 1 0 0 24 9 21 12 6 3 3 18 0 0 15 6 18 0 15 3 24 6 12 15 3 21 3 9 18 12 15 18 3 6 9 24 9 24 21 21 6 24 3 24 0 9 12 18 21 6 21 9 0 21 21 18 24 18 generates a code of length 56 over Z27 who´s minimum homogenous weight is 107. Homogenous weight enumerator: w(x)=1x^0+288x^107+668x^108+792x^109+684x^110+762x^111+660x^112+600x^113+468x^114+558x^115+510x^116+400x^117+72x^118+24x^119+14x^120+12x^121+12x^123+6x^124+14x^126+6x^127+10x^129 The gray image is a code over GF(3) with n=504, k=8 and d=321. This code was found by Heurico 1.16 in 0.151 seconds.