Yeah, Puerto Pollensa is the place for you. Hire a bike from Bruce at Pro Cycle Hire. There's a group rides from there every morning or there's also a good group goes from Tolos every morning - can be a bit fast depending who's out, ie. can be ex-pros or very good amateur riders.
Alternatively if you want to go with a well organised, friendly company I recommend Sunvelo, have a look at their website