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 1 1 1 1 1 1 1 1 1 1 1 1 1 0 7 0 7 21 21 0 7 21 14 14 14 0 7 21 14 42 42 42 42 21 42 7 0 14 7 28 28 28 28 28 0 21 14 42 28 0 7 21 14 42 28 35 35 35 35 35 35 35 0 0 7 7 21 21 0 7 21 14 14 14 0 7 21 14 42 42 42 42 21 42 7 0 14 7 28 28 28 28 28 0 21 14 42 28 0 7 21 14 42 28 35 35 35 35 35 35 0 0 7 35 21 14 28 14 7 35 7 28 35 28 0 14 0 7 14 42 35 28 42 42 21 21 28 21 0 42 7 21 28 42 35 14 14 7 42 0 21 35 0 7 21 14 42 28 35 0 7 35 28 0 14 14 7 28 35 28 42 42 14 35 0 42 28 7 14 7 35 42 28 14 0 42 7 0 35 14 21 21 21 21 21 35 21 42 7 0 28 0 7 21 14 42 28 generates a code of length 97 over Z49 who´s minimum homogenous weight is 581. Homogenous weight enumerator: w(x)=1x^0+288x^581+2058x^582+48x^588+6x^679 The gray image is a code over GF(7) with n=679, k=4 and d=581. This code was found by Heurico 1.16 in 0.157 seconds.