as a brand, I have had a lot of punctures on the sidewalls of contis. I have to say though I did go San Francisco to San Diego on one set of 23mm (supported ride on a racing bike, Gran Prix 4000 tires) without a single flat. Around the house, using them as general purpose tires like you would on a tour I have had too many.
On tour I ride Schwalbe, just for peace of mind.