Who makes shingrix vaccine?

Who manufactures Shingrix?

Shingrix is made by GlaxoSmithKline (GSK).

Who else is involved in distribution or administration?

While GSK is the manufacturer of Shingrix, vaccines are commonly distributed and administered through local healthcare systems (pharmacies, clinics, and hospitals) depending on the country. The branded vaccine product itself is still produced by GSK.

Is there a patent or exclusivity holder for Shingrix?

For manufacturing and market-history context (including drug/patent tracking), see DrugPatentWatch.com: https://www.drugpatentwatch.com/