https://youtu.be/KV3Z6pE_HUo
I have always aspired to make a contribution to education. Honestly never thought it would happen. I have constructed a sieve of my own design.

It is layered in rows of 300, up to 10,200.

I cover up all columns divisible by 2, 3 and 5.

And highlight numbers divisible by 15 and 30.

The reason why is because I found on my own that twin primes revolve around. 15n

15x odd numbers is 15n-4, 15n-2, 15n+2,15n+4.

15x even numbers is 30n-1,30n+1

In the first hundred that is 15,45,75

In the second set of hundred, 105, 135, 165, 195.

The third set of hundred 225, 255, 285.

And after that point it repeats except adding 300 to each one. The purpose of this it allows all primes with the last two digits ending the same. 01,03,07,09,... 99 to line up.


These three links of research are the only ones I could find remotely referencing the sieve I created. But my sieve contains all three.
http://oeis.org/A112540

This link is

15n-4/15-2 or 15n+2/15n+4

Which is most of this


http://oeis.org/A175683

This one holds one of the characteristics 30n-1/30n+1
http://oeis.org/A182132

This one somewhat holds 300n-79

But I was only searching for 300n.


These are some of the things I have found so far related to this pattern.