The 24 hours on a Tuesday requirement is not consecutive, I found out the hard way. My toddler pressed the power button on my PC the first time I tried this achievement, so I only got about 16 hours in. The next Tuesday I did another 8 hours and the achievement popped. I left the game running minimized on the desktop while I did other things, and it was in the pause menu, so you don't actually have to play if you don't want to.