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 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 1 1 0 3 0 9 24 21 3 15 24 9 9 15 18 12 15 21 24 21 18 12 9 24 12 6 15 0 0 21 12 21 15 24 12 6 18 18 6 21 15 12 24 6 0 0 21 12 6 0 3 9 3 9 18 6 0 21 18 12 9 24 3 3 24 18 15 24 15 21 18 12 15 9 9 0 3 3 18 3 6 6 6 0 18 21 0 0 3 15 9 6 3 21 15 0 6 18 21 24 12 12 24 0 24 3 9 21 18 6 0 18 21 18 12 24 6 18 15 12 15 3 24 15 15 9 3 9 12 9 3 6 0 24 9 18 12 24 12 3 6 21 9 0 3 12 6 24 0 6 9 6 24 9 0 21 3 12 21 15 15 21 18 18 18 21 15 0 21 15 generates a code of length 84 over Z27 who´s minimum homogenous weight is 164. Homogenous weight enumerator: w(x)=1x^0+18x^164+6x^165+108x^166+72x^167+1686x^168+216x^169+72x^170+6x^171+2x^252 The gray image is a code over GF(3) with n=756, k=7 and d=492. This code was found by Heurico 1.16 in 0.27 seconds.