The teens.
Minus 2010, 2011 and 2012?The teens.
Well done for quoting Wikipedia, but what are you going to call them? Nothing so far sounds natural or organic enough.The 2010s decade, pronounced "twenty-tens", "two thousand (and) tens" or simply "the tens"
Minus 2010, 2011 and 2012?
Just call it 'the current decade' and forget about it for ten years. We'll cross that bridge when we come to it.
Brown's stain?
The Tenner's?