Hi,

Here is a list of NITs you can expect to enroll in with a rank of 68,000.

...

With 60,000 rank in mains, which NIT can be expected?

InstituteCoursesJEE Cut Off (Closing Rank)

NIT HamirpurElectrical Engineering63971

NIT MeghalayaCivil Engineering117205

NIT PuducherryElectronics & Communications Engineering166930

Computer Science & Engineering134522

Hope this helps

Wish you luck