The register
The register lists CTDI Milton Keynes Ltd in Milton Keynes as a licensed sponsor on Global Business Mobility: Graduate Trainee, an entry that goes back to at least 2026. Its rating on the register is Temporary Worker (A rating).
Companies House lists it as Ctdi Milton Keynes Ltd, number 04068222, incorporated 2000: 26 years of filings behind the name. The registered office is at 6-10 Indurent Park, Unit 1, Bulrush Close, Wellingborough, Northamptonshire, NN8 4FU, NN8 4FU. By its SIC codes the business is in it, software and media. It has traded under other names before, including Ctdi Limited, Ctdi Nethouse Services Limited.
A licence says an organisation may sponsor; it does not say it is hiring today. The way to find out is the same as for any employer: the careers page, the job boards, and a direct approach with a UK-style CV that says early that sponsorship would be needed.