In a large mixing bowl, mix 4 cups of flour, sugar, salt and yeast together with a wooden spoon. Make a well in the center of dry ingredients.
Heat milk in saucepan over medium heat until very warm (110-120F), but not scalding.
Add milk to the well along with melted butter, eggs and honey. Stir together until evenly mixed. The dough will look like thick muffin batter. Start adding the remaining cup of flour in 1/4 cup increments, watching closely as a tacky dough forms. Use your hands to continue to combine the dough for about 5-8 additional minutes until a stiffer and tacky dough forms (you can also knead for additional time here if you want a softer product in the end). You want to make sure the flour is incorporated and the dough is soft to the touch and only slightly sticky.
Cover lightly with plastic wrap and a wet towel and place in a warm spot to proof, until doubled in size, about 40 minutes. Transfer the dough to a lightly greased bowl and cover with a wet towel and place in a warm spot to proof until doubled in size, about 40 minutes
Heat oven to 350 F degrees and place the rack in center position.
Grease 13x9 inch pan with 1 tablespoon softened butter.
Lightly flour work surface. Remove dough from bowl and cut into three large, even pieces. Cut thirds into six pieces each. If using a scale, each ball was about 70-75 grams each.
Place the ball of dough on the work surface, cupping your hands gently over the dough, press slightly and work in a circular motion to shape into a tight round.
Place rolls in the prepared pan. Cover lightly with plastic wrap and wet towel and return to a warm place until rolls are doubled in size, about 35 minutes.
Remove the plastic wrap and place in a preheated oven. Bake until golden brown, or until a thermometer registers 190-200F, about 35 minutes.
Cool in a pan on a wire rack for 10 minutes.
Top with cinnamon honey butter (recipe follows). Serve immediately.