Even though Sean “Diddy” Combs is taking his ex-girlfriend Kim Porter on a Caribbean cruise, he still makes time for his kids to enjoy themselves on their joyous vacation.

While vacationing in St. Barts, the rapper gave his boys Christian, Justin, and Quincy, among others, a seaside banana boat trip.

In addition, when the tide crept in, the 41-year-old, who appeared to be relishing the opportunity to spend time with his family, chased his sons along the beach.

Diddy and Kim, the mother of their twin daughters D’Lila and Jessie, 12, and 12-year-old Christian, are on vacation aboard a yacht that is moored off the Caribbean island.

Prior to this week, the couple, who had a turbulent 16-year relationship that was intermittent, celebrated the twins’ fourth birthday.

On the auspicious day, Diddy enthusiastically tweeted, “Happy Birthday to three of the most important women in my life!” My mother and my daughters, D’Lila and Jessie. Happy birthday, Mom, Jessie, and D’Lila! You are loved!

Combs is a frequent visitor to St. Barts, having spent June, New Year’s, and Christmas on charter yachts off the island’s shore.

He’s probably going to stay in the Caribbean till early 2011.

In addition to the twins, Porter and Combs are parents to a 12-year-old son named Christian, with the rapper providing a stepfather figure role for Quincy, Porter’s son from a prior relationship with singer Al B.