Nutmeg Woods Apartments, New London, CT, 06320. Bedrooms: 0-3. With a great location, spacious apartments, and amenities that include a state-of-the-art fitness center, swimming pool and putting green, Nutmeg Woods represents New London's premier apartment community. Set on a wooded hill overlooking New London, you'll enjoy the serenity of the country with the city at your feet. Nutmeg Woods truly represents the best of both worlds--a great location and easy living.