Firstly, turn traceflag 1204 off. It produces the old-style deadlock graph that's very hard to read. With just 1222 on, wait until another deadlock occurs and post the entire deadlock graph here please.
Gail Shaw
Microsoft Certified Master: SQL Server, MVP, M.Sc (Comp Sci)
SQL In The Wild: Discussions on DB performance with occasional diversions into recoverability