2016 is too narrow.2013 is .2865 inside(at least on paper.
Andy you can figure the inside diameter with a little math.
1.The first two digits are in 64ths of an inch,O.D.
2.1/64" =.015625
3.Outside diameter of a 2016 would be 20x.015625=.3125
4.Outside diameter of 2117 would be 21x.015625=.3281
5.Once you know the outside diameter,double the wall thickness which for a 2016 is .016x2=.032.
Just subtract this double wall thickness from the outside diameter. .3125 minus .032=.2805 I.D for 2016
6.for 2117,.3281 minus .034=.2941 I.D.
7.In theory,if there were such a thing as a 2012,it should be .2885 I.D.
Now,after you get all your math worked out,measure the actual carbon and aluminum shafts with calipers because they sometimes aren't exactly what the manufacturer states.
You might have to use 2117's and some thick,paste type epoxy.