It's interesting that the most recent progress in reducing the bounded gaps for primes has been

4680 Polymath Project

600 James Maynard

270 Polymath Project

All these gaps are divisible by 30, and as David Broadhurst confirmed but could not prove, any number wholly divisible by 30, including 30, can be broken down into the sum of two particular even numbers. And on either side of those particular even numbers, twin primes will be found.

Examples 30 = 18 + 12 : 17:19 & 11:13

270 = 72 + 198 : 71:73 & 197:199

Food for thought?

Bob