The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 0 1 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 1 1 1 9 12 6 1 1 1 21 1 1 1 1 0 1 7 26 4 21 20 1 24 19 23 1 4 0 26 1 21 16 20 1 24 19 23 1 9 12 6 16 13 10 8 11 5 1 1 1 9 12 7 13 8 2 6 10 5 1 1 1 11 12 7 1 0 24 9 18 0 0 9 0 18 18 9 9 0 18 0 0 9 18 9 9 9 0 18 18 9 0 18 18 9 0 18 18 0 9 18 0 9 18 0 9 18 9 0 18 9 0 9 0 0 0 18 18 9 18 18 0 9 18 0 0 generates a code of length 56 over Z27 who´s minimum homogenous weight is 108. Homogenous weight enumerator: w(x)=1x^0+112x^108+684x^110+462x^111+360x^113+216x^114+252x^116+92x^117+2x^126+6x^129 The gray image is a code over GF(3) with n=504, k=7 and d=324. This code was found by Heurico 1.16 in 0.078 seconds.