# Maxima of difference between Primes!

Let $$a, \ b, \ c, \ (a+b-c), \ (a+c-b), \ (b+c-a), \ (a+b+c)$$ be seven distinct prime numbers such that the sum of two of $$a,b,c$$ is 800. Let $$d$$ be the difference between the largest and the smallest numbers among the seven primes. Find the largest possible value of $$d$$.

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