I had a place try to sell me new, unused tires that were manufactured five years before. If I bought them, by the time I put my 60k miles on the tires, they would have been 12 years old. Not good and very dangerous.
DOT date is 2115, which for Goodyear is the 21st week of 2015. Vehicle was purchased the end of July 2015, so the tires weren't old at the time.
That said, their performance is fading quickly. Even with the remaining tread, well within the safety margin, they will be replaced in the next few months.