'has even ever' is not correct in written English.
You cannot use it. An example of correct usage would be: "He has been working so hard for so long that he has ever even taken a vacation."
"My heart bleeds for he and his family that this may not have even ever happened, yet it's unfortunately currently part of his record," Mr. Crist said.
People seem to have warmed to it and are able to relate to it although it's quite different to anything we've even ever done before.
He was presented by his Rams coach John Robinson, who said: "Jackie played all of that time and never made a run, never scored a touchdown, he might not have even ever touched the ball.
I don't think I've even ever read the book.
If you were worried, for whatever reason, that Donald Trump might be gay ― or might have even ever had a single gay thought ― you can now rest easy.
When I began looking into it, a couple of years ago, I discovered, to my great surprise, that nobody had even ever written a book on the picture.
The university has even elected its first ever gay student body president.
"I've been fortunate enough to.. I don't know that I've even actually ever had the flu, even ordinary flu, in my life.
We have to show we can take this defeat, the worst defeat Brazil has ever had, even in friendlies.
No one in Oher's family had ever had even a driver's license.
