Burmese Gin Thoke Melon Salad

Start by cutting up the melons: Trim off the rind of all 3 melons, remove any seeds, and cut the flesh into 1/2-inch dice. Put all of the diced melon in a large mixing bowl. In a separate bowl, combine the ginger, sesame seeds, lime juice, soy sauce, 1/4 cup of the olive oil, 2 tablespoons of the sugar, and 1/2 teaspoon of the salt. Mix well and pour over the melon. Toss, and let marinate at room temperature while you prepare the rest of the salad. Put the lentils and 4 cups cold water in a small saucepan set over high heat, and bring to a boil, about 5 minutes. Reduce the heat to low and simmer for 15 minutes. Add 1 teaspoon of the salt and cook for 5 minutes, or until the lentils are tender but not mushy. Drain, rinse with cold water to chill, and then stir into the melon mixture. Combine the coconut, peanuts, kaffir lime, remaining 1 teaspoon sugar, remaining 1/4 cup olive oil, and remaining 1/4 teaspoon salt in a large sauté pan. Toast the peanut mixture over medium-low heat, stirring it constantly, until the coconut and peanuts have toasted, somewhat unevenly, to a golden brown, 3 to 4 minutes. Remove from the heat and set aside to cool. Just before serving, add the peanut mixture to the melon mixture and stir gently to combine. Serve in a large bowl, preferably at room temperature.