Preheat oven to 350 degrees F (175 degrees C). Grease a 9x13-inch baking dish.
Spread 1/4 of the sliced potatoes into the bottom of the casserole dish, followed by 1/3 of Gruyere cheese, and about 2 tablespoons of minced jalapeno peppers.
Sprinkle with salt and pepper. Repeat the layers 2 more times; top casserole with last 1/4 of the sliced potatoes.
Pour the cream evenly over the casserole.
Sprinkle top with paprika.
Bake in the preheated oven until the casserole has browned and the potatoes are tender, about 1 1/2 hours.