I like the game, knowing the secrets of other players reminds me of 10 Candles, and it's a feature I can get behind. The one thing I'm not too sure of is "Revealing a secret adds 2d10 minutes to the timer". We have a group of 6 players + GM, each player having 2 secrets could add up to extra 4 hours on the clock, conversely having only two players for example, you can only add 20 to 40 minutes tops. Is such a time difference intended?
I feel like adding so much time would make the initial 30 minutes not matter much and it lessens the "fear" of losing, which might remove some excitement from the game. I'll have to try it to see how it goes though, for maybe not too many secrets would be revealed in the first place and the amount of time it adds is taking that into account.