Looking on the internet deeply has found these results:

have been is the most popular phrase on the web.

having been 1108,000,000 results on the web	have been 12,650,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
This is deleted, having been incorporated into Article 6. Probably the proudest thing in my whole life was having been in Easy Company 506. Shortly before midnight, the Committee was adjourned, having been unable to reach an agreement. An organism rediscovered alive after having been considered extinct. I know that from having been Minister responsible for drug addiction in my own country. For having been so distant all these years. That obligation not having been fulfilled, the Commission has decided to bring this action. I'm uncomfortable having been included in your lie to Penny.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

having been

1108,000,000 results on the web

have been

12,650,000,000 results on the web

More popular!

This is deleted, having been incorporated into Article 6.
Probably the proudest thing in my whole life was having been in Easy Company 506.
Shortly before midnight, the Committee was adjourned, having been unable to reach an agreement.
An organism rediscovered alive after having been considered extinct.
I know that from having been Minister responsible for drug addiction in my own country.
For having been so distant all these years.
That obligation not having been fulfilled, the Commission has decided to bring this action.
I'm uncomfortable having been included in your lie to Penny.

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.