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 7 1 1 7 1 1 1 1 7 1 7 1 1 1 1 1 0 7 0 0 0 0 0 0 7 21 7 7 7 14 42 42 35 35 14 14 14 28 14 42 7 7 0 14 14 21 28 28 42 42 35 42 7 0 7 7 28 14 14 21 28 42 35 7 14 0 7 7 0 28 14 7 14 21 35 14 21 7 28 0 0 7 0 0 7 7 28 35 28 28 7 35 28 21 0 7 21 14 7 35 0 7 0 0 21 14 42 35 14 21 28 0 7 14 35 35 7 35 14 28 35 28 28 7 35 0 14 35 35 7 0 7 0 42 14 28 0 42 35 7 21 21 0 0 0 7 0 35 28 21 35 21 21 7 42 42 14 7 21 35 21 0 28 14 42 42 14 21 28 0 42 42 14 28 21 42 14 14 42 7 14 14 14 35 0 7 21 14 35 0 28 35 21 35 42 21 42 28 28 21 35 14 42 7 0 0 0 0 0 7 35 7 14 35 0 35 42 7 28 35 35 42 42 14 21 42 42 42 21 28 42 7 14 0 14 14 35 28 14 42 28 28 35 42 0 14 35 21 28 0 42 21 14 28 14 28 35 0 21 42 21 14 14 28 21 42 28 28 generates a code of length 63 over Z49 who´s minimum homogenous weight is 343. Homogenous weight enumerator: w(x)=1x^0+654x^343+1278x^350+1584x^357+1176x^361+1974x^364+8820x^368+1914x^371+36456x^375+2190x^378+54390x^382+1980x^385+1836x^392+1446x^399+1086x^406+558x^413+228x^420+66x^427+12x^434 The gray image is a code over GF(7) with n=441, k=6 and d=343. This code was found by Heurico 1.16 in 15.2 seconds.