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 1 1 1 9 12 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 24 6 18 3 15 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 9 12 7 13 8 11 1 1 24 6 19 10 18 3 15 25 22 1 17 2 23 5 14 1 1 1 1 1 generates a code of length 72 over Z27 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+720x^144+8x^162 The gray image is a code over GF(3) with n=648, k=6 and d=432. This code was found by Heurico 1.16 in 0.0874 seconds.