Can every even integer greater than four be written as a sum of two twin primes? Thinking of Goldbach conjecture I arrived at this  


  $\mathrm{Conjecture}$: Every even integer greater than four can be written as a sum of two twin primes.


What do you think?

I hope this is true.
I tried to verify this up to some extent.
In fact, it was already a conjecture; mathworld says,  "It is conjectured that every even number is a sum of a pair of twin primes except a finite number of exceptions whose first few terms are $2, 4, 94, 96, 98, 400, 402, 404, 514, 516, 518,\cdots$" ... (OEIS A007534; Wells 1986, p. 132).
I have found by the conjecture of goldbach that there are two unique prime numbers whose sum results in an even number . example- 64=53+11