Time Vault is a really good card in a Stasis deck from my experiences a while ago. You can freely skip your next turn to untap Time Vault (since your opponent is tapped out and cannot do anything anyway). Then, when you want to kill your stasis and get an untap step, you can cash in the extra turn and untap before resetting the lock. I definitely recommend finding a place for this card.
I'd probably run Voltaic Key as well for the random "oops I win" draws you can get. Of course you'd need a Planeswalker or something to leverage the infinite turns, but they work really well with Stasis anyway, as Lance earlier pointed out.
Also from my experiences earlier I never liked Thwart as a card. I understand why it's there but it just seemed like it never did what I wanted it to do. Your mileage might vary though, but I thought I'd mention.
When I built a Stasis deck, I didn't bother with Howling Mines. I felt like it drew my opponents into answers when a soft-lock that I had created was enough to leverage that position into a game win, either by just getting ahead through a Planeswalker of some sort, or by disrupting my opponent enough to do so. I know it's the reason behind the name "Turbo Stasis" but I felt like drawing my opponent deeper into their deck was just asking for trouble.
Also another point I just noticed, you're playing Tolarian Academy + Minamo (a combo that I absolutely adore), but you're only playing Mox Sapphire + Opal. I feel like those Howling Mines could turn into the full suite of Moxen perhaps?
Good luck with your deck!