Note - this is likely not the result of a database breach. This is just notice that some malware has possibly been recording TWC passwords.
The article just states it, and when a company does that I assume they are just full of hot air.
If you have a better primary source I would be interested in seeing what form the breach was in, because I assume that would make it a lot more clear what the scope of the problem is.
"In a statement provided to NBC News, the cable giant said "there are no indications that TWC's systems were breached," and suggested the mails may have been acquired earlier by other means, such as malware, phishing attacks on subscribers or security breaches at companies that stored TWC customer information."
So seems like it was just phishing and malware to the unlucky ones.