2km Over Twisted Pair?

So I found some great discussions on long-distance ethernet via EoC, but what about over twisted pair multicore? I have two sites linked with about 2km of telco line (cat3 or maybe cat5e, I didn't get a chance to look too closely); I've used EoCs over straight copper with baluns, but only short distances, and I wouldn't want to assume it would work at that range, so... suggestions for proper devices would be appreciated.

And no, I can't just put 20 switches along the route ;)

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***** *******:

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