Some social media users in Indonesia said the quake was felt in several cities such as Pacitan, Blitar and Malang.
At least 49 families were hit on Flores, in the east of Indonesia's sprawling archipelago, Raditya Jati, a BNPB spokesman said in a statement.
Raids were conducted in several places in response to the attack in the city of Makassar, Kompas reported.
The fire was concentrated in the refinery's storage units, and there had been no impact on the processing plant, Pertamina said.
Makassar Mayor Danny Pomanto said the blast could have caused far more casualties if it had taken place at the church's main gate instead of a side entrance.
Mount Sinabung's activity has increased since last year and the alert for the volcano in North Sumatra province has been placed at the second-highest level.
Both the supertankers, each capable of carrying 2 million barrels of oil, were last spotted earlier this month off Singapore, shipping data on Refinitiv Eikon showed.
The country's disaster mitigation agency did not immediately respond to a request for comment on the possibility of evacuation.