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 6 1 1 1 12 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 14 1 9 7 26 1 21 24 0 12 18 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 9 9 0 18 18 0 9 0 18 18 0 generates a code of length 57 over Z27 who´s minimum homogenous weight is 110. Homogenous weight enumerator: w(x)=1x^0+72x^110+58x^111+684x^112+360x^113+144x^114+360x^115+144x^116+14x^117+252x^118+72x^119+18x^120+2x^129+6x^132 The gray image is a code over GF(3) with n=513, k=7 and d=330. This code was found by Heurico 1.16 in 0.0654 seconds.