A division bench of the court's Madurai bench, comprising Justices Venugopal and Abdul Quodhose, directed the DGP and the secretary to file their counter before December 4.
The petitioner, Kanagavel Pandian of Tirunelveli district, alleged that rowdies and politically influential persons were involved in usury.
The usury cases should be investigated by a separate team and also a committee should be formed to create awareness about the evils of usury, he submitted.
While the woman and the children died the same day, the man succumbed to burn injuries the next day.