This PDF includes instructions for 8 different types of peer editing groups.
In my class, I divide my students into groups of 3 and each group receives a different task card. They are now considered the expert over whatever is listed on that card [Thesis Statements, Paragraph Instruction, Conclusions, Paragraph Examples, Capitalization, Punctuation, Sentence Structure, and Spelling]. They will receive an expository essay from a peer and look through for only the mistakes in their category. Each expert will receive an instruction card with reminders over their specific topic. They will have around 5 minutes to look over an essay and make any corrections before the essay gets passed along to the next expert group.
In this PDF I have 8 types of cards, but 2 types have 2 cards to better divide my class.