Matthew Wade (3) and Moises Henriques (0) were at the crease at the end of day's play.
Tiwary struck 129 off 187 balls, finding the fence 18 times and clearing it thrice.
Tiwary is not in the 15-man squad selected for the first two Tests but this performance will remind the selectors that he is in form, having fully recovered from the injury he suffered in the middle of the Ranji season last December.
(with inputs from PTI)