These images show the order in which the bombs are lit in the palace rooms.

Palace room 1

Palace room 2

Palace room 3

Palace room 4

Palace room 5

Palace room 6

Palace room 7

Palace room 8

Palace room 9

Palace room 10

Palace room 11

Palace room 12

Palace room 13

Palace room 14

Palace room 15

Palace room 16

(Note: This is just included for the sake of completion. The order in which the bombs are picked up is irrelevant in a speedrun since you're always sent to the beginning of level 17.)