Do you have to redeem them while the stream is going on to reset the timer? I only got one and the Twitch claim page shows 0% of 30 minutes when I watched the whole stream (and more because I left it running after it was over).
FYI, if you're watching the stream still (they're going back through all the feature premieres) you still are earning Twitch packs. Just noticed this when I went back in.
I figured this out maybe 45 minutes ago, but I'm still getting credit for watching so just throw it on in the background and go claim a pack every half hour until you get the max 5