The Singularity

The Singularity doesn't untap during its controller untap step.
{t} : Create a black and red Biopod artifact token with "Sacrifice this artifact : put two time counter on target non-land permanent an opponent controls. That permanent gains Vanishing. Activate only once each turn. (At the beginning of your upkeep remove a time counter from this permanent. When the last is removed, sacrice it.)"

Whenever you sacrifice a permanent, untap The Singularity.