I believe it is
9419919379773971911373313179
containing these primes
941-419-199-991-919-193-937-379-797-977-773-739-397-971-719-191-911-113-137-373-733-331-313-131-317-179
I wrote a computer program for this that brute forced it. Of course computer programs are prone to errors but I believe it's right.