A good choice for a high-mileage 6-cylinder engine is a 10W-40 or 5W-40 motor oil. These oils have a higher viscosity (thickness) than thinner oils like 5W-30 or 0W-20, which makes them better suited for older engines with increased clearances.
It's important to note that the specific oil viscosity recommendation may vary depending on the make, model, and age of your vehicle, as well as the climate in which you live. Always refer to the owner's manual or consult with a trusted mechanic for the correct oil viscosity for your particular vehicle.