20 strand cable can be had in 100ft rolls for over $300. A more inexpensive solution might be to make the cable out of individual wires using a braided cable sheath like this. You don't need 20 different colors if you are careful soldering the ends and use a continuity checker to match the wires to the pins.
http://www.cabletiesandmore.com/Brai...-color-pet.php
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