According the website:
"Applications currently closed
Please note: The CTC Wings ATP route is currently closed for applications. At this time we have fulfilled the requirement for CTC Wings ATP and we have, therefore, temporarily closed the application system for new CTC Wings ATP applicants. Please enter your email address below to register for updates or monitor the website over the coming months for further updates on when the programme is likely to re-open."
After sending an application online beginning of april, I received an email telling me that I passed phase 1 and had to book an assessment online. This was april 23th.
That same day I visited the website looking for available assessment dates. There was just one date available: may 29th. Next day I went to the website again to confirm my assessment but I was already to late. All places gone.
A few days later when I tried the exact same as explained before it happened to me again. One date available (want to arrange things for my trip to Southampton) next day fully booked.
And now it's closed.