The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 1 0 1 1 21 1 1 1 24 1 1 1 1 1 1 1 1 1 9 12 6 1 1 1 1 1 1 9 12 1 1 1 1 1 1 3 1 1 1 1 1 0 1 7 26 4 21 20 1 24 19 23 1 0 16 26 24 1 4 23 1 21 19 20 1 9 12 6 16 13 10 8 11 5 1 1 1 9 12 7 13 8 11 1 1 6 10 12 4 9 15 18 19 16 7 13 10 0 0 9 0 18 18 9 9 9 0 18 18 9 18 9 18 18 0 0 0 0 9 18 9 18 9 0 0 9 18 18 0 9 9 18 0 9 0 0 18 9 18 0 9 9 0 18 9 0 18 18 18 9 18 0 9 generates a code of length 56 over Z27 who´s minimum homogenous weight is 109. Homogenous weight enumerator: w(x)=1x^0+414x^109+408x^110+10x^111+684x^112+198x^113+8x^114+198x^115+144x^116+2x^117+108x^118+6x^119+2x^120+4x^132 The gray image is a code over GF(3) with n=504, k=7 and d=327. This code was found by Heurico 1.16 in 65.2 seconds.