Not even thinking about some of the gear options we have now, THF/WAR, with Dual Wield 3, would have insane TP gain. Double Attack (10% activation) + Triple Attack (5% base or up to 10% with merits) + DW3 (Delay -25%) is starting to get crazy enough. Add in say Twilight Knife + Triplus Dagger, Raider's Bonnet +2, Raider's Belt, Assassin's Poulaines, Epona's Ring, Brutal Earring, Raider's Earring, Homam Corazza (I'm ignoring Haste gear mostly for simplicity off the top of my head here) and now you're up to Quad. Attack (3%) + Triple Attack (23% - Only theoretical here as I can't test this since I'm missing several pieces of this gear set) + Double Attack (13%) and with Raider's Boomerang you're up to -28% delay with DW3. Now since I've heard there's a Triple Attack cap (seen 10% and 15%, but I'm not anal enough to try to test and measure which or if it's true or not), but caps don't necessarily happen inside Abyssea with Atma, I'm going to assume they still felt all of this would be a bit too much.

I think there's also a mantle with Double Attack +2% or something we can equip, but it's Rare/EX and I can't even remember the name at the moment, but even if there is a Triple Attack cap that we can hit, it's still kind of nuts.