wow, i'd imagine it would be pretty tough to have your own identity being a twin. i had enough trouble doing that just having a sister a year younger than me.
i don't really have a lot of advice to offer, but i can relate to what you're saying, even though i'm not a twin. when we were kids my sister was always the favorite of every authority figure and i spent my childhood hearing "your sister is so nice and cheerful, why can't you be more like her? why do you always have to be so negative?" i heard this from my mother, most of my teachers, people at church, pretty much everyone. it got so that if she was involved in something i made sure i never went anywhere near it for fear of being compared to her yet again. of course, that really limited my life, which just became another way for people to compare us so i never felt like i could win.
have you talked to a therapist about this at all? they might be able to help you think about some strengths that you have that your sister doesn't. no one is perfect, so she *must* have some flaws.