Thanks. Very nice line, and I expect your endo/nurse is delighted by your results!
Still, quite some variation there, especially considering you're keto.
For me, the amount of basal I need varies. Tresiba is not an insulin with which you can play with doses on a daily base (by the time a changed dose takes effect, basal needs may have changed again).
I solved this issue by adding Levemir to my Tresiba on an as needed base, but that's a very unconventional solution, and you won't get it if your HCP isn't willing to think very far outside the box. It also means more work put into diabetes.
The variations on your graph are small enough that a pump with a sensor could be a very effective solution, for instance a Medtronic one with the Smartguard system which increases and decreases basal insulin depending on BG.
Of course this means you'd need to want a pump (I don't) and you'd need to be able to get one (can be very hard to impossible).
Apart from the variation, it also shows a very clear pattern where you start rising at around 10pm and dropping again between 3 and 4. Which is a very unusual time for a liver dump, so I'd suspect the evening meal wants some insulin, possibly even in two batches because of the slow action of the protein.
Mind, I may be completely wrong, this is just what I'd be thinking if it were my graph, and our diabetes is very different.