For example a Prime triplet where each prime number is separated by a single even number is: $$3, 5, 7$$ it contains 3 prime numbers each separated by 2
What is the longest such sequence known to exist where each consecutive prime number is separated by a single even number?
And is there a name for such sequences?
So say if the longest such sequence was n long with the first primer being p, then the sequence would be:
$$ p, p+2, p+4, \ldots, 2(n-1)+p $$