Acting Police Chief Mark Simmons told reporters during a press briefing that police responded to calls of gunshots on Pennsylvania Avenue around 12:25 a.m. local time and found about 100 people running down the street.
According to USA Today, Simmons described it as "a very chaotic scene."
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The deceased victims, one male and one female, were between the ages of 18-22, Simmons said. Their identities have not been made public.
The 14 injured victims — whose wounds were reportedly said to not be life-threatening — were taken to Strong Memorial Hospital and Rochester General Hospital, Simmons said.
Police have not yet identified a suspect.
The Rochester Police Department did not immediately respond to PEOPLE's request for comment.
During his press briefing, Simmons expressed frustration about the party taking place despite the state's ban on large gatherings being held amid the COVID-19 pandemic.
"This is yet another tragedy where individuals are having these illegal, unsanctioned house parties taking place in these properties, which — number one — is not safe because of COVID, because of the conditions,” Simmons reportedly said. “And then you add in alcohol and violence and it just becomes a recipe for disaster.”
Simmons also said that prior to the 911 call, police were unaware that the party was being held and received no noise complaints.