If there is an adjective in front of an uncountable noun, can an article be added before it? If not, under what circumstances can articles be used in the front?

If there is an adjective in front of an uncountable noun, can an article be added before it? If not, under what circumstances can articles be used in the front?


For example, news
A piece of news
a piece of good news
The news refers to the news that both the speaker and the audience know
He said he had a piece of good news and he told everybody the news.