FREEPORT, Bahamas (AP) — John Travolta and Kelly Preston are “heartbroken” over the death of their chronically ill 16-year-old son, who collapsed at the family’s vacation home on Grand Bahama, the actors said Sunday.

Police Superintendent Basil Rahming has said a caretaker found Jett Travolta unconscious in a bathroom late Friday morning and he was later pronounced dead at a Freeport hospital. The youth was last seen entering the bathroom on Thursday, according to Rahming’s police statement.

“We are heartbroken that our time with him was so brief. We will cherish the time we had with him for the rest of our lives,” Travolta and Preston, his wife, said in their first public statement since Jett’s death.

“Jett was the most wonderful son that two parents could ever ask for and lit up the lives of everyone he encountered,” said a statement posted Sunday on Travolta’s Web site.

“We have received many messages of condolence from around the world and we want to thank everyone for their prayers and support. It has meant so much to us. It is a beautiful reminder of the inherent goodness in the human spirit that gives us hope for a brighter future.”