It's been posted in other spots, but just to repost, you can use uTorrent to download the files (a LOT faster).
For me in Windows 7 using D: as my main drive. You may need to change D: to C: or whatever your drive is.
Open utorrent and go to File > Add Torrent, then go to this directory:
D:\Users\YOURNAME\Documents\My Games\FINAL FANTASY XIV Beta Version\downloads\ffxiv-beta\d96437e6\metainfo
The 2 patches that we are currently stuck on are the D2010.09.02.2000 and D2010.09.02.2001, so add those torrents.
And when utorrent prompts you to place the file somewhere put it in:
D:\Users\YOURNAME\Documents\My Games\FINAL FANTASY XIV Beta Version\downloads\ffxiv-beta\d96437e6\patch\d96437e6\patch
Then just run the beta launcher and it'll have them all download and will install/patch.
Works the same for the older patches, too. =]