The yacht has been based in Southampton since May 7 after departing the Dutch yard on May 6, according to BOAT Pro data.
Zen, which was formerly known as Project 816, had previously been seen undertaking sea trials in the North Sea after first hitting the water on December 19.
Spread across four decks, Zen is built from a steel hull and aluminium superstructure and has a beam of 13.5 metres.
Accommodation on board is for a total of 16 guests and a crew of 25.
Also underway at Feadship is the 118m Project 1010, which hit the water in October 2020.