I'm sorry, but Grayton Beach State Park is actually located in Florida, not Tennessee. Here's a summary of the park:

Grayton Beach State Park is a popular destination for visitors to the Gulf Coast of Florida. The park has over 2,000 acres of pristine beaches, sand dunes, coastal forests, and marshes. The park is home to a diverse array of wildlife, including sea turtles, dolphins, and a variety of bird species.

One of the main reasons to visit Grayton Beach State Park is to enjoy the beautiful beaches. The park has over a mile of white sand beach that is perfect for swimming, sunbathing, and fishing. Visitors can also go kayaking, paddleboarding, and hiking in the park.

Some of the specific points of interest in the park include the Western Lake, which is a rare coastal dune lake that is fed by both freshwater and saltwater. Visitors can also explore the park's hiking trails, which wind through the coastal forests and sand dunes.

Interesting facts about the park include that it was one of the first state parks established in Florida, and that it is home to several endangered species, including the Choctawhatchee Beach Mouse and the Red-Cockaded Woodpecker.

The best time of year to visit Grayton Beach State Park is in the spring or fall, when the weather is mild and the crowds are smaller. However, visitors can enjoy the park year-round, as temperatures in this part of Florida rarely drop below freezing.