Looks like one, in America they are most known as Basswood trees. I have not found anything about the berries not being edible.
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Ah - so *that* is a "basswood"! We call them lime trees (or Linden, as in unter den) over here. At this time of year the leaves are lovely and tender, and great in salad. The outer sun-exposed ones soon get a bit chewy, but there are usually lots of tender ones in the shade. And even the kids will eat them. I've a massive one in the garden; kept me in salad for a good bit of last spring