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 0 3 24 0 21 24 21 6 0 9 21 24 0 12 15 9 21 6 9 3 9 6 3 6 18 3 24 0 0 9 9 21 21 3 12 24 6 6 24 9 12 24 15 18 3 18 15 9 21 12 24 0 21 6 18 3 15 0 12 15 18 3 15 24 6 0 9 18 15 6 21 12 3 15 18 18 18 15 12 12 12 0 0 0 0 9 0 18 0 9 18 9 18 18 0 9 18 18 0 0 18 18 9 9 9 9 0 18 0 9 0 9 18 9 18 9 18 0 18 0 9 18 0 18 18 0 18 9 0 0 9 9 0 9 18 0 9 9 18 18 18 9 18 0 0 0 0 18 18 0 9 9 0 0 9 18 9 0 9 18 9 0 9 18 0 0 0 0 0 9 9 9 18 18 18 9 18 18 0 0 9 18 9 0 18 9 9 18 0 0 0 18 9 18 9 0 0 0 0 9 9 0 9 9 18 0 18 9 18 18 18 9 0 18 9 0 18 9 18 0 9 0 0 18 18 18 0 9 9 0 9 0 9 18 9 18 0 9 18 18 18 0 9 0 18 0 9 0 0 generates a code of length 83 over Z27 who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+80x^162+1944x^166+160x^168+2x^249 The gray image is a code over GF(3) with n=747, k=7 and d=486. This code was found by Heurico 1.16 in 0.339 seconds.