I -think- the 777's have Goodyear, but I would have to call someone in the shop to be sure. I haven't done an up close walk around on one since I first got checked out on it, about 3 years ago, but I think all of Delta's plane's tires are Goodyears.
What about tire pressure? I like to run mine a little higher than what is printed on the sidewall, how much above that number is safe?
The number on the sidewall is the max air pressure for the max weight listed on the sidewall. You should never go over the max pressure.
You should follow the auto,suv manufactures pressure listed in the manual or door jamb. RVs, trailers should be weighed and then check the tire manufactures chart for the weight to air ratio. The max air pressure on the sidewall is only to list the max weight the tire can carry not the pressure that should be in the tire for your vehicle.