Set the oven to 350 degrees. Lay a sheet of aluminum foil on a baking sheet. Remove husks from corn and tightly wrap each one in aluminum foil. Lay on the baking sheet and cook for 40 minutes, turning halfway through.
Once cooked, remove the corn from the oven and carefully unwrap the corn from the aluminum foil. Leave the corn on the baking sheet and turn the broiler on high. Broil the corn for 2 minutes, then rotate and broil 2 more. It's done once part of the corn is a nice golden brown.
In a large bowl, add all the dressing ingredients and mix well.
Next, add the roasted corn, cucumbers, red onion, cilantro and Parmesan cheese. Gently stir until everything is combined.
Taste and adjust salt to liking. Enjoy immediately or cover and place in the refrigerator until ready to serve.
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