It annoys me when companies say “you should only use our power supplies” when touring artist all use power bricks (Voodoo Lab, CAE, Truetone etc.) – none of them use the Eventide supplied plug!
I’m betting a large proportion of the Eventide staff don’t use the supplied plug?
If you’re happy with your Palmer you only need a cable like this (I’d be surprised if it didn’t come with one): https://www.andertons.co.uk/guitar-dept/guitar-pedals/pedal-power-supplies/voodoo-labs-ppl6-black-to-red-l6-25mm-connector-cable-for-pedal-power-2-plus
Personally I went with the GigRig modular system. It’s a bit pricey but the most flexable option out there. I power an Atomic Amplifire 3 and two Eventide H9s (with the GR Evenflo adapter) with it and it still have enough juice available to power a number of 9v pedals and a couple of Strymons before maxing out the 5 amp it gives out