I agree with this. As a "high achiever", I am lonely, but at least I have a pretty good idea why (at least for myself). My philosophy is that you know you're doing something right when people dislike you (not ALL people of course, but not all people should like you either). If you're good at anything or are smarter than average etc. etc., there will be people who don't like you. It's unfortunate, but in my experience has turned out to be true. I've also found that hanging out around people older than me (by a generation or two) helps as well as they are less prone to petty jealousy (at least in my limited experience). I would just suggest if you're more mature/smarter/etc. than people your age, focus on becoming friends with people who are similar in maturity/intelligence etc., despite their age.

Also, I've spent a lot of class trips (don't know if that's what this is, but it at least sounds similar) being alone most of the time.