The Genesis Ark was a Time Lord prison ship used during the Last Great Time War to hold millions of Daleks due to it being, like a TARDIS, dimensionally transcendental. The Cult of Skaro stole the Genesis Ark and, using a void ship, fled the universe into the Void.
The only way for the Genesis Ark to be activated was to be touched by a time traveller, thereby transmitting artron energy to the ark. Incapable of touch, no Dalek could open the ark by any means short of blowing up a sun.
When the Tenth Doctor returned to the Void all elements that had become saturated in Void stuff, the Genesis Ark would also have been sent in. Although not seen to enter the Void, it was observed getting sucked towards the opening after the Cult of Skaro escaped by temporal shift. (DW: Doomsday)