Kurenai Tsuki

Main character meets a red-eyed girl on a stormy night, and he is entrusted with a red wax stone that emits a sinister shine. But afterwards he forgets about this encounter.
But soon on a stormy day out of season a mysterious beautiful girl transfers to school. She does not confirm or deny being the same girl giving the shiny stone.

At the same time abominable incidents and ominous events begin to occur one after another. And every time the incident happens, "Red Crimson" in the palm of protagonist starts to glow with evil red radiance...

[From vndbreview]