There's a lot of math that goes into selecting the right bit-width for the signal, which I ain't doing here and now [0], but most 24dB things tend to be 32bit for reasons. The arrays here are a bit more, but probably fit that kind of channel.
Assuming 32bit and 30dBi, you'd be sending at roughly 20-30MHz, and receiving at about 1kHz. (Less if you hit bad weather.)
So... 1 bit per second. Not byte. Bit.
It's 1.3 to 1.6 seconds each way to the moon, by radio link.
JPL's much, much, much bigger arrays can only achieve 64kbps.
Point-to-point on the Earth would actually be semi-decent, as another comment pointed out.
Or 31.25 million bytes per second if you prefer.
This would be for a point to point terrestrial link. OFDM probably wouldn't work for EME (at any power level).