So if this is the basis for your belief, then probably what you'll want to do is first of all find out which bible book your foundational scripture is in. (It's Exodus by the way.)
Ex 1:6 - Eventually Joseph died, and also all his brothers and all that generation.
It's not a complicated scripture.
Let me ask you this. If you die in 2017 and all your brothers and all your generation also die at some point, what does "generation" mean if you don't impose any weirdness on the text? Do your precise birth and death times change the fundamental meaning of the word generation?
Of course there are overlaps in a "generation". The only possible way for there not to be overlaps would be for each generation to have a batch of children be born at the same minute of a certain year, and die at a simultanous minute of a later year.
But does your grandfather suddenly become part of your generation just because your life overlapped with him? Does that overlap of a few years between you and your brothers give latitude to distort the language to allow for President Kennedy to be of your generation even if your life overlapped with him?