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A total of 22 more migrants were halted mid-sea.
The Home Office says that the RHIB (rigid-hulled inflatable boat) was intercepted by two Border Force vessels in the Channel as it headed towards UK waters.
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Border Force was alerted at 7am yesterday.
The 22 were brought to land to be medically assessed before being interviewed by Home Office immigration officials.
A Home Office spokesman said; "The nationalities of those found are yet to be established. Their cases will be dealt with in line with the immigration rules."
On Saturday, at 6am, an Albanian national was found on a beach at Seabrook near Hythe leading to a huge search for others.
And on Friday two boats, each with 10 people, were stopped by the Border Force mid-channel.
The issue of migrants trying to reach Britain specifically on small craft has gone on since last year.
There have also been incidents on or off the coast of Deal, Folkestone, Romney Marsh and Thanet.