The current time is between 1 o’clock and 12 o’clock in a wallclock and both the minute hand and the hour hand are situated precisely on two distinct minute marks. It is observed that the hour hand is a square number of minute marks ahead of the 12 Hour Mark . The number of minute marks by which the hour hand is ahead of the minute hand is a different perfect square greater than 1. Determine the current time from the information provided in the above statements.