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 7 1 1 1 0 7 0 0 7 7 28 14 21 0 7 21 21 21 35 14 14 7 28 14 21 28 0 0 28 7 7 21 0 28 42 28 0 42 21 28 21 42 7 14 14 7 42 28 42 28 21 21 0 42 21 0 7 35 0 35 42 21 35 28 7 42 14 14 0 0 7 0 35 28 21 35 42 21 21 21 35 35 28 0 0 21 7 28 14 7 7 35 0 7 7 7 35 0 35 14 28 28 28 21 14 7 28 7 28 21 21 35 35 14 0 21 21 0 7 28 42 14 42 21 7 35 35 0 21 42 42 42 0 0 0 7 35 7 14 42 42 28 7 0 14 42 42 35 7 14 35 7 7 21 14 28 35 35 14 0 35 28 14 28 21 42 21 7 14 42 14 42 28 28 0 0 0 0 14 35 7 21 21 14 0 7 21 7 21 7 0 7 14 35 14 0 generates a code of length 64 over Z49 who´s minimum homogenous weight is 364. Homogenous weight enumerator: w(x)=1x^0+408x^364+432x^371+2568x^378+12678x^385+180x^392+132x^399+102x^406+108x^413+102x^420+66x^427+18x^434+12x^441 The gray image is a code over GF(7) with n=448, k=5 and d=364. This code was found by Heurico 1.16 in 0.589 seconds.