The teleporter's never been demonstrated to have any particular range, that I'm aware. The furthest mechanical, hero-instigated teleport I'm aware of in League history is from Earth to the asteroid belt, and that wasn't even the League teleporter, it was a cargo-only groundside machine that couldn't move organics. And she's survived being at ground zero of mountain-dropping explosions, I doubt you could kill her by burying her in rock. Plus, we're still, at this point, working with plans that strive for lethality and are therefore completely unfeasible for Batman, who doesn't kill. (Which is yet another reason Babel doesn't work as a storyarc, but that's drifting off-topic.)