RadioLive reported that the investigation into allegations of a sexual nature involved boys aged 17-18 and girls aged 13-14.
It was understood some of the victims may still be attending school with the alleged perpetrators.
An "online component" was understood to be a private Facebook page, according to Story reports.
Families of the alleged victims and perpetrators were approached by the show but declined to comment.
Detective Inspector Mark Loper said police were in the "initial phases of the investigation" and were taking the matter seriously.
"Police are following all proper processes, including working closely with the young people concerned, their families, the school and other agencies to ensure the proper support and resources are in place," he said.
"This has involved talking with a number of students who have provided information, and their families, and providing them with the appropriate ongoing assistance.
"Our priority is the wellbeing of the young people who have provided the information and we have spoken to their families about how we will progress from here."
Mr Loper said he appreciated there were people in the community who were naturally concerned about the allegations, which was why police were taking them seriously.
"Police have allocated all the resources necessary for this inquiry. However, we need to work carefully and methodically, and ask that the community have patience while that
occurs.
"In the meantime, we will continue to keep the affected students and their families appropriately informed as our inquiries progress.
"We also encourage anyone who may have information on this matter, or who may be a potential victim, to please contact police."
Ministry of Education head of sector enablement and support Katrina Casey said the ministry had been working closely with Opotiki College since the allegations were reported.
"Allegations of this type are very concerning and will affect the school and the wider community.
"The school is being supported by professionals from different agencies including the ministry. We are supporting its leadership team to minimise disruption to school life and help restore day-to-day routines. This support will be available as long as it's needed."
Ms Casey said the ministry would continue to work with police as they continued their inquiries and with other agencies as long as was needed.
"We are unable to comment further while the investigation continues," she said.
The Herald has attempted to reach members of school's senior management team, but has been told they were in a meeting and unable to comment at this stage.
In November last year it was revealed a group of young men in west Auckland were using Facebook to brag about their sexual exploits with intoxicated, often underage girls, one as young as 13.
Calling themselves the Roastbusters, the men's activity allegedly occurred between 2011 and October 2013.
Despite a police investigation into the allegations, no charges were brought against the young men.
The police's handling of the complaints was highly criticised and twice investigated by the Independent Police Conduct Authority, which found victims were "let down" by police operations.
Though victims were found to be treated with compassion, the investigation process was highly criticised for not being robust enough.
