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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 21 16 4 24 19 9 7 12 13 6 10 26 20 8 11 23 5 18 3 15 generates a code of length 57 over Z27 who´s minimum homogenous weight is 113. Homogenous weight enumerator: w(x)=1x^0+216x^113+396x^114+108x^116+2x^117+4x^126+2x^144 The gray image is a code over GF(3) with n=513, k=6 and d=339. This code was found by Heurico 1.16 in 0.0361 seconds.