The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 0 1 1 3 3 9 1 1 3 3 18 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 0 9 18 1 1 1 1 1 1 1 1 1 0 3 24 9 21 6 18 12 15 0 21 24 9 12 6 18 3 15 0 21 24 9 12 6 18 3 15 0 21 24 9 12 6 18 3 15 0 21 24 9 12 21 24 3 6 18 12 6 3 3 15 3 15 3 0 9 18 21 12 3 24 6 15 21 0 9 18 12 24 6 3 15 3 3 3 0 9 18 21 12 3 0 9 18 generates a code of length 84 over Z27 who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+216x^168+20x^171+2x^180+4x^189 The gray image is a code over GF(3) with n=756, k=5 and d=504. This code was found by Heurico 1.16 in 0.235 seconds.