> I am paid to write code not sit in 10 meetings a day.
Unless you're some kind of modern-day ornamental hermit, writing code is unlikely to be the end goal; more likely you're getting paid to produce something useful, something for which communicating and understanding the problem is often far more important than actual coding.
> If I raise the issue everyone gets all pouty.
This does not sound like a healthy working relationship, although I'm not sure the problem's on their end.
> There is an unspoken feeling of being forced to attend every meeting assigned to you just in case something feels useful.
Well, nut up and get over it. Either attend or don't, but don't half-ass it. The surest recipe for pointless meetings that go on for too long is meetings where half the participants are coding instead of paying attention.