The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 9 1 1 1 12 1 1 1 6 1 1 1 18 1 1 1 3 1 1 1 15 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 0 1 16 26 21 4 20 1 24 19 23 1 9 7 8 1 12 13 11 1 6 10 5 1 18 25 17 1 3 22 2 1 15 1 14 1 0 16 26 1 21 4 20 1 24 19 23 1 9 12 6 7 13 10 8 11 5 1 1 1 18 3 25 22 generates a code of length 64 over Z27 who´s minimum homogenous weight is 127. Homogenous weight enumerator: w(x)=1x^0+312x^127+252x^128+156x^130+4x^141+4x^147 The gray image is a code over GF(3) with n=576, k=6 and d=381. This code was found by Heurico 1.16 in 0.0556 seconds.