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Don't get foglight bulbs that have a lens on the end, otherwise you'll just blind people, foglights aren't very bright generally, they're not going to add to your normal vision.
I have no idea if they are the "brightest" but I can say the Beamtech LED bulbs are much better than what our 2013 had from the dealer (I got it used last year). I've had the headlights for a month or so now but I've only had the fogs a week or so but so far so good.
I tried the Beamtech H13 led bulbs recently. They are bright. They have a decent beam pattern. But here is the catch, the light distribution is all wrong. Its VERY bright close in front of the vehicle and kind of dims out as you move towards the top edge of the pattern. This makes it really hard to see down the road at night. I'm running the Philips extreme vision bulbs with a DIY 12awg relay harness and I do feel like I can see better with this setup than with the Beamtech H13 LEDs. I also, and this is personal preference, don't like the cold almost blue tint to them.
My heavy gauge relay harness and philips bulbs really do pretty decent. Sure they aren't the same as a well designed HID or LED setup but probably about as good as halogen gets. If you want better than this, I'm beginning to believe your only option is to pony up for Morimoto or similar.
I took a couple pics this evening so you can see the light pattern of the fan style h13's we got from Beamtech (linked in a previous message in this thread). I don't have any issue with although I did lower the driver side beam some as our fx2 has been leveled. It's lighting up pretty far (we live in the boonies) and no one is flashing their lights at me in the truck so it must be set "ok" for now. Eventually I'll do that 25 ft wall test.
Low Beams 2013 f-150 fx2 (leveled) using BeamTech h13 (fan style) LED bulbs High Beams 2013 f-150 fx2 (leveled) using BeamTech h13 (fan style) LED bulbs