I have a collection of birdstrike pics on my company laptop. The highest 'hit' I could find was just above FL310. One 767 out of CDG had multiple strike above 10,000 and one bird pierced the area below the windscreen, cut through the bulkhead, ripped the ASI out of the panel and smacked the skipper in the chest. 240 kts.
In 7000+ hrs of heavy jets I have had about 10 brdstrikes including a christmas day one at EMA (they told me it was a Turkey but I didn't believe them and settled for an 'unknown'). I've also had the same approx number of lightning strikes.