There’s a shrine called Coltzan’s shrine! I figured out what times to go a day to get the prizes! You can only do this once a day! so choose wisely:
To raise speed its every five minutes after an hour but remember you can only use the shrine once a day! to get up ten you must click exactly on the fifth second none above or below if it is one above or one below you’ll only get stat raised by 1.
That goes with the following times
Speed: Every fifth second of the hour
Defense: Every tenth second of the hour
Strength: Every thirty minutes of the hour
Endurance (hit points) : Every hour of the day
Level: Every two hours of the day!
Burnt Food: 11:00 – 12:00 NST
Dubloons: 55 seconds past the minute
It is also alleged by many Neopians that visiting the shrine at exactly midnight will result in 1,000,000 neopoints but there has been no evidence to support this and appears to be just simply a rumour.
Also note that these may not always work.