constconst always applies to the type to its immediate left; if there is none, it applies to the next type on its right.
So the following three declarations
const static int SECS = ...60 * MINUTE; // or static const int SECS = ...60 * MINUTE; // or static int const SECS = ...60 * MINUTE; are all equal. static applies to the whole declaration; and const applies to the int type.
The position of const would only make a difference if you had a "more complicated" type, like e.g. a reference or a pointer:
int a; const int * b = a; // 1. int * const c = a; // 2. In this case there is a difference between the place of const - for 1. it applies to the int (i.e. it is a pointer to a const int, i.e. you can't change the value), and for 2., it applies to the pointer (i.e. you can't modify where c points to).