Check with an electrical engineer for what size wiring would be required to deliver 50 kilowatts of power in 10 minutes.
then multiply that by 600 stations.
I have an MSEE and 40 years industry experience. Despite that, I know that watts (or kilowatts, or megawatts) is a unit of power, energy per unit time. One watt is equal to a joule per second. One watt-second is a joule.
Ignoring transients, and just thinking about steady state (and for most applications, 10 minutes is steady state) the charge on a battery is usually specified in amp-hours, with the battery terminal voltage being implied. So a 12 V battery charged to 100 amp-hours would have a charge equivalent to 12 x 3600 x 100 = 4,320,000 joule.
Tesla touts their supercharging stations as 250 kW chargers, that can provide 200 miles of charge in 15 minutes. At 50 kW, that would be 1:15 (75 minutes.) A home 115 VAC outlet can only supply at most 1.8 kW, roughly 35 hours for the same result. Using "dryer connection", 30 AMPS at 220 would reduce it to a little under 9 hours. Again, an average commute of 30 miles would require over five hours charging on a 115 VAC household current, per commute.
That’s a lot of copper!