Isolated on it's own, I'd call it a polychord: F sharp minor over E flat major. (The Gb and Db you put should really be F# and C#.) Context is always key though and could change the analysis.
Agreed, apart from: is it not better to think of the top portion enharmonically? - the A is a B double flat, and it's Gb minor over Eb major.
Eb-G-Bb-Gb-A-Db.That is, a major chord and the major chord of the minor third above it, played simultaneously. Does this have a name? It sounds jazzy, and I'm pretty sure I've heard it somewhere.
You can probably find that chord in "Goodbye Porkpie Hat," somewhere.
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Eb sharp 9 sharp 11. Generally speaking if the 9th is sharp you are free to add the sharp 11. Sometimes it's just written out "dom7 alt" (altered) in older versions of the real book. It means that you are kinda free to make it as dissonant as you please.