Preheat the oven to 400F and grease a 9X13 casserole dish.
Add the corn and the jalapeno peppers to a large bowl and mix to combine.
In a heavy bottomed saucepan over medium heat, melt the butter.
Add the cream cheese cubes and stir until completely smooth and uniform. Be careful, since the butter may splash up on you. Just be gentle and patient.
Add the shredded cheddar cheese and stir until melted completely.
Add the heavy cream and stir until completely smooth.
Add the sauce to the bowl of frozen corn and jalapeno peppers. Toss well to combine.
Pour the sauce-coated corn and jalapeno peppers into the prepared casserole dish. Spread it out evenly and sprinkle with a little bit of black pepper. Cover tightly with aluminum foil.
Bake for 1 hour and serve immediately!