How do I find the 'centre' of a set of vectors in $ℝ^3$? 

By centre I mean I want to find a vector such that maximum angle between it and any other vector in the set is kept to a minimum. Another way of looking at it would be to find the narrowest cone that contains all the vectors in the set.

I am currently working in MATLAB so methods that are simple to implement in code would be most welcome.