The first 14 luxury residences at The XI, two twisted towers designed by starchitect Bjarke Ingels in the Chelsea neighborhood of Manhattan, hit the market Thursday.

The apartments range from a one-bedroom, asking $2.85 million, to a five-bedroom penthouse asking $28 million, according to the developer, HFZ Capital Group.

The XI, also known as The Eleventh for its location on 11th Avenue, is a $1.9-billion mixed-use development, featuring two asymmetrical 26- and 36-story towers with travertine-and-bronze facades.

Drawing inspiration from New York City’s classic modernist structures and cultural institutions, starchitect Bjarke Ingels utilized his signature skewing geometry to give both towers expansive views of the High Line, Hudson River and Manhattan skyline.”We want to give the world something that it has not yet seen—and therefore it doesn’t fit into any boxes,” Mr. Ingels said in a statement.

The XI offers multiple retail spaces, restaurants, an art gallery, a public promenade adjacent to The High Line, as well as the first U.S. destination of Six Senses, a Bangkok-based global operator of luxury hotels, resorts and spas.

There will be 236 luxury apartments in the two towers, including a collection of full-floor and half-floor penthouses on the top floors.

The first penthouse listed, PH32A in the West Tower (No. I), spans 5,663 square feet on half of the floor, including five bedrooms, full bathrooms and one partial bath. It also has a 239-square-foot outdoor terrace.

The second most expensive apartment being released is a 3,373-square-foot four-bedroom in the East Tower (No. X), with a price tag of $12 million.