It was proved in Polignac Numbers Conjectures of Erdos on Gaps Between Primes Arithmetic Progressions in Primes and the Bounded Gap Conjecture for János Pintz, using Bounded gaps between primes for Zhang, the following theorem (theorem 2.12)

Are we able to re-formulate the same result by choosing $d \le 246$ Using Variants of the Selberg sieve and bounded intervals containing many primes for DHJ Polymath?.
