Fourteen thousand people nationwide may be at risk of ­developing a potentially deadly fungal infection from steroids linked to a Framingham compounding pharmacy, health ­officials said Thursday, as they widened the pool of patients to include those who received joint injections from the now-recalled medications.

So far, 170 patients who ­received injections of the painkiller made by New England Compounding Center have been sickened — all but one from a rare form of fungal meningitis — and 14 have died, accord­ing to the latest counts.