[seqfan] Balanced Sophie Germain primes of zero order.

[Zak Seidov]

 Sophie Germain primes which are not the average of any pair of other SG primes.

2, 3, 5, 11, 23, 29, 89, 179, 239, 293, 359, 683, 743, 5639

May be coined as  "Balanced SG primes of zero order".
Is the sequence finite and full?
What about SG primes which are not the average of three (or more) SG primes?
Cf. A005384 Sophie Germain primes.

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Zak  Seidov