Unfortunately, you missed this months Manchester Wheelers intro ride, it was yesterday, they tend to run monthly.
Here is a link to our rides list:
http://www.manchesterwheelers.co.uk/rides/list.htm
(As a side note, if you have a look at this and the related pages, if you have any feedback, please send it to me via PM as myself and the membership secretary are looking at improving some sections of the website, especially those relating to new members, potential members and clarity of ride types)
Monday and Thursday runs are not too rapid (~17 mph on a flat route most likely at my guess), so if you can do 14-15 mph on your own, in a group you should be capable of more. They leave from the Gateway hotel in Parrs Wood at 7pm. I attend occasionally and of late I would remark that the level was pretty sedate, possibly a symptom of the season, this will suit you as it means when the pace picks up in line with the seasons (and it does pick up, I can recall some nice fast runs), your ability level will get dragged along.
Additionally, the womens' rides (which men are welcome to attend) tend to be at a more sedate pace as they are less frequent and we have a large female membership with a vast mix of ability, there will be a womens ride on the 19th. You could try that, I might even be there.
In the meantime, if you were to find that our club runs are a bit hard, this is no reason to despair as we have other activities which will allow you to integrate and improve without the pace limitations, for example we have led/coached turbo training sessions on the Wattbikes in the National Cycling Centre every week (these are very popular with a large range of abilities attending and all 27 bikes being occupied most weeks), led core sessions in Stretford weekly and also regular track sessions (where pace isn't an issue, since if you are dropped the group will sweep you up when they lap you).
Additionally, there are quite a few members from the North Manchester area, some of which are probably around your level, so you could always organise a ride and chances are, people will come.
If we are a bit far for you, have a look into Leigh Premier or some other clubs more local, you should be able to find a few using the British Cycling website.