I'm an INTP, 28 (just turned it today! Happy Birthday to me.) and have gone through various phases in my life. I hope you'll be able to relate to some of my experiences and that it'll help you somehow.
1) Awkward teens. Tried very, very hard to fit in with the popular social groups but just couldn't. I never understood why; just thought I was the weird kid, which in many ways, was entirely true. Don't ever try too hard to conform to the whims of your SF peers. It willl never feel natural.
2) In my early 20s, I became a popular musician in my country. My band played headlining concerts, sold concert tickets by the thousands, had many fans, was played frequently on national radio, had #1 hits. I was in a position that many musicians in my country envied and wanted. But strangely, the more popular we got, the more unhappy I became. It didn't feel natural to me; the live performances were a blast of course, but I struggled to portray myself as an E, rather than an I, and pretended to be an F rather than a T. It was a public personna, and it wore thin on me after a while.
As an INTP, I did not deal well with the media attention, did not stick to the 'rules of engagement' with the journalists. Was always kicking up controversy with my public commentaries.
And after a while, my natural INTP self took over again and I retreated inwards. I left the band (and the media hoopla) and pursued my own artistic interests.
3) I'm starting to find myself again, and it is a journey I sometimes struggle with. But all in all, the one thing I learnt is this: If you are an INTP, it is very hard for you to truly fit in with the common segmentations of society. You will tend to be picky with your friends, but the major plus side is that the friends you keep will truly mean the world to you - many of which will play important roles in your life. You will not be understood by most, particularly SF types, but those who do will truly appreciate you for the person you are. Embrace your affinity to eccentricity, discover your strengths, and you will find happiness.
One thing I also noticed about INTPs is this: We do not settle for fickle definitions of happiness – we do not subscribe to usual social pretensions. We usually seek out our own highly individualistic ideologies of contentment. This can be a very tiresome and tedious journey of self-discovery, but it can also lead to a very genuine understanding of yourself and the people you hold dear to you. It is usually always worth the while in the end.
And most of all, don't ever apologize for being an INTP. It is not your fault that you're smarter than most.

Adaptability is the key, but compromise is not! Leave the bottom-feeder types where they are; stay clear from ESFPs because they will annoy the lollipop out of you. You will find many conrads along the way, so no worries.

Never ever lose that clear imagination in your head though; keep the fantasy worlds alive and bruisin'!
Hope that helps.
