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 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 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 generates a code of length 53 over Z49 who´s minimum homogenous weight is 308. Homogenous weight enumerator: w(x)=1x^0+36x^308+120x^315+2058x^318+180x^322+6x^371 The gray image is a code over GF(7) with n=371, k=4 and d=308. This code was found by Heurico 1.16 in 0.0212 seconds.