Alternate Capitals of the Eastern Roman Empire?

I am a little surprised that no one has brought up what could be a fairly viable and significant choice:
Jerusalem.
Think in terms of the cultural dynamics of the era, not just geopolitically or economically.
This would really be an Holy Roman Empire.
 
Carthage
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J.D.Ward

Donor
IIRC, during the Nika riots, Justinian I was advised to flee from Constantinople to Carthage, but was dissuaded from this by Theodora. Would Carthage be a viable "Third Rome"?
 
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