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 1 1 1 1 1 1 1 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 12 13 7 4 16 10 19 21 24 6 25 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 9 18 0 9 18 9 0 18 0 18 generates a code of length 57 over Z27 who´s minimum homogenous weight is 111. Homogenous weight enumerator: w(x)=1x^0+272x^111+582x^112+578x^114+348x^115+120x^117+204x^118+76x^120+2x^123+2x^135+2x^141 The gray image is a code over GF(3) with n=513, k=7 and d=333. This code was found by Heurico 1.16 in 4.4 seconds.