Actually, it wouldn't need to be that long. The circumference of the moon is 40k kilometres, so assuming the site was in the center of the far side (though there's no reason it needs to be), that would put it at ~10,000 km from sight of the earth.
That's shorter than some transatlantic cables. I reckon it would be doable.
That's shorter than some transatlantic cables. I reckon it would be doable.