That blast killed three people - a couple and their eldest son, 17 - and seriously injured two of their three other children. A new threat has emerged in recent years, inspired by IS attacks overseas.
Indonesia has been on high alert for attacks by homegrown militants, including some claimed by ISIS.
The family, riding on two motorbikes, blew themselves up at a checkpoint outside the police station, Police Chief Tito Karnavian told a news conference. The inmates include members of Jamaah Ansharut Dauluh, or JAD. Police also reported that Sunday evening, a mother and her teenage daughter were killed in a Surabaya suburb when a bomb being handled by the family's father prematurely went off, CNN reported.
Police said they arrived after the explosion and shot dead the injured man, Anton Febrianto, as he held a bomb detonator in his hand.
Juventus complete double with 7th Serie A title
Dybala threatened early and broke through early in the second half after an Alex Sandro cross but the goal was disallowed because the Argentina striker was offside.
"The first wave was linked Al Qaeda from 2001 and were involved in the Bali attacks".
The government, Indonesian Military (TNI) and the National Police are closely working together to ensure the resort island's security, she added.
"It was in one way expected and also completely unexpected, and that raises it to a new level of sick, using kids in this kind of thing", said Ken Conboy, a security consultant and counterterrorism analyst in Jakarta.
Israeli joy, Palestinian fury over US embassy launch in Jerusalem
So far, at least 52 Palestinians have been reportedly killed and hundreds more have been wounded, marking it he deadliest day in Gaza since 2014.
"Then in 2014 there was an uptick in violence as groups linked to ISIS became active, stoked by online propaganda, militants who traveled to the Middle East and fighting in the Philippines", he continued. Exact numbers are uncertain because immigration officials in Iraq and Syria don't have a record of them entering those countries, Wawan said.
The reflection of a church struck by suicide bombers is seen in Surabaya, Indonesia, May 14.
The victim's mother said the family was "proud to have a martyr who gave his life to save hundreds of people attending Sunday Mass inside the church building". Indonesia is the world's most populous Muslim country with more than 82 per cent of its roughly 260,500,000 people following Islam. Nearly 10% of the population is Christian.
Separately on Sunday, three members of another family were killed when homemade bombs exploded at an apartment in Sidoarjo, a town bordering Surabaya, police said. His name is Dita Oepriarto.
Jumbo Jet-Sized Asteroid Due to Whiz Past Planet on Tuesday Afternoon
Although Tuesday's visitor won't be visible to the naked eye, star gazers might be able to catch a glimpse of it with a telescope. Individuals may see the scene online and that the observatories of Northolt Branch at London will broadcast it live.