Rex Heuermann search warrant looking for Bounty paper towels

A startling search warrant in the Gilgo Beach serial-killer case reveals cops are hunting a myriad of potential “trophies” — as well as an oddly specific type of Bounty paper towel.

The household item was singled out in a warrant to search Rex Heuermann’s property in South Carolina and the dark green Chevy Avalanche that first made him a suspect in the “Gilgo Four” serial slayings.

Officers detailed their planned search for a host of possible “trophies” that may have been taken from victims and hoarded by their killer, as well as signs of burlap, the coarse canvas used to wrap three of the four sex workers Heuermann has been accused of murdering.

The warrant said it was seeking the women’s “telephones, articles of clothing, jewelry, identification, notebooks, ledgers, Bibles, personal effects and/or photographs or recordings depicting the victims,” according to Newsday.

Then — sandwiched in between “scissors, cutting implements” and “firearms” and ammo — the warrant stated investigators are also looking for “Bounty paper towels specifically from the Bounty Modern Print Collection.”

The warrant, first obtained by the Chester News & Reporter, did not elaborate on why the household item might be key to the case, and it does not appear to have been mentioned in earlier appeals for information.

Asked for clarification Friday, a rep for the Suffolk County District Attorney’s Office told The Post: “We are not commenting on the contents of search warrants.”

The warrant was issued last Friday, the day Heuerman, a 59-year-old married dad of two, appeared in court after being arrested outside his Midtown Manhattan office the previous night.

FBI agents and local cops were already out in South Carolina keeping an eye on the pickup truck that matched one a witness saw at the house of one of the murdered sex workers on Long Island.

It was driven by someone who looked like an “ogre,” the witness said, which officials say matches the 6-foot-4 architect.

The warrant also showed cops have been searching for “hunting blinds, restraints, belts, textile yarns, polyester fibers, cotton fibers” or any variety of tape, the News & Reporter said.

The search includes the hunt for “condoms, cut distal ends of black leather belts, devices utilized to stamp letters onto leather goods such as belts, as well as knives, scissors, cutting instruments,” too.

Although it was not mentioned in that warrant, officials have long said a key item of evidence was a belt stamped with the letters “HM” or “WH” that was found at a crime scene.

The hunt also has been on for “firearms, magazines, cases, ammunition, bullet fragments and shell casings,” the Chester News & Reporter further reported of the case involving Heuermann, who was discoverd to have had up to 300 guns in a basement vault in his Long Island home.

In addition, officers were looking for “locked rooms, storage areas, vaults, cabinets, safes, closets, containers (including strong boxes, desks, drawers, suitcases, briefcases, boxes, hidden compartments or other such enclosures where items can be kept, hidden or secreted,” the warrant stated.

The Chevy in South Carolina was registered to Heuermann’s brother, Craig, 57, who lives in the area, where the suspect reportedly planned to retire.

Craig Heuermann — who once killed a police captain while drunk and “coked up” — has not been implicated in his brother’s alleged crimes.

Suffolk County District Attorney Ray Tierney confirmed that “trophies” are one of the main focuses of the ongoing “painstaking” search of the suspect’s properties and vehicles.

“Normally, people keep mementos of significant times in their life, so that’s what we’re looking for,” the DA told Newsday on Thursday.

Heuermann has pleaded not guilty to three counts of murder in the deaths of Amber Lynn Costello, 27, Melissa Barthelemy, 24, and Megan Waterman, 22.

He has also been named the “prime suspect” in the death of Maureen Brainard-Barnes, 25, and officials have expressed confidence in charges being brought in that slaying.

Since the arrest, cops in several states — including South Carolina and Las Vegas, where he also has a home — have started re-examining cold cases for possible connections.

Officials also confirmed that they are looking into a potential connection between Heuermann and the “similar” murders of sex workers in Atlantic City in 2006 blamed on the so-called Black Horse Pike Strangler.