Add the artichokes to a food processor or a high speed blender, along with the garlic, tahini paste, lemon juice, and dill. Add ¼ cup of the artichoke brine (or water) and blend until smooth, 1-3 minutes (depending upon how powerful your blender is). Check the consistiency – it should resemble the thickness of hummus, and spreadable. If too thick, add some more of the artichoke brine or water. Add sea salt and black pepper and check seasonings, adding more salt, pepper or lemon juice as required.