This is the second time the court has refused bail to Burkule. He had been denied bail last month too.
Burkule had sought bail on the ground that investigation was over and police no longer needed his custody.
However Public Prosecutor Jaisingh Desai argued that many more people were coming forward with the complaint that Burkule had demanded bribe from them.
On April 16, the Anti-corruption Bureau laid a trap and arrested Burkule and his deputy Pradeep Pathrikar from central prison police officials' residential colony in south Mumbai.
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Pathrikar was caught red-handed while accepting a bribe of Rs 35,000 of the total Rs 40,000 that had been demanded, whereas Burkule was apprehended as his deputy was taking the bribe on his behalf.
According to the ACB, the complainant, a jail officer, had appeared for the Maharashtra Prison Manual examination on March 25. The answer sheet was checked by Burkule.