It's definitely one of 2 Hawks for sure, either the S-70B Seahawk like you said which already exists in the Hellenic Navy (I believe they have 11 of them) or it's part of the new batch of MH-60Rs that the HAF ordered and supposedly were delivered in February to add to the fleet of S-70Bs.
The first three MH-60R aircraft will arrive in Greece during 2024 aboard U.S. Navy transport planes. Four additional aircraft will arrive in 2025 to complete the Hellenic Navy’s seven-aircraft purchase.
Foinikas' pic shows all the traits of both aircraft, the angled tail rotor to the rudder, the nose-mounted FLIR ball but what makes me think Hungary might be right that it could very well be one of the new MH-60Rs is the jagged edged tips of the main rotors. I don't think the S-70B Seahawks have those jagged tips on their rotors but the MH-60Rs do.
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The rear rotor is angled to the vertical tail rudder (common to Blackhawks & Seahawks) takes the Apache out besides, no winglets in the pic like there would be on the Apache.
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The less visible rear landing gear like you said because it's not in the typical far aft section of the tail boom but rather closer to main body which takes the Blackhawk out of the mix.
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It has the jagged tips on the main rotors which I'm not sure is an SH-70 trait, but these appear to have the nose-mounted FLIR on top of the nose bracket and not hanging below, which might not make it so prominent-looking like it is in the live pic.
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HAF S-70B FLIR below bracket and more consistent with the live pic.
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These are the first 3 MH-60Rs for the HAF with the FLIR ball on top of the bracket.
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Either way they're beautiful machines with killer weapon systems. Anti-submarine hunters and can perform sea & land warfare missions. Perfect to equip frigates and LHDs.