Old cars had single or dual chargers supporting max 16A or 32A respectively when used with three-phase; this was nominally 11kW or 22kW but the limitation was purely on current and the actual power varies with voltage - I have seen 250V at an Ecotricity unit, which will give 24kW (250 * 32 * 3).
Facelift cars are limited to either 24A (or 16A software limit if you didn't by the high amperage upgrade when it was optional), so 11kW/16.5kW nominally. The software limit seems to be only on the current, so you can see 12kW on the 'base' cars if the voltage is high; however, I believe this design of charger also has an overall power constraint so you can't get much above the 16.5kW even if the voltage is high.
But the bottom line is that charging a Model S/X with AC at an Ecotricity site isn't sensible except in case of emergency - it's expensive (Ecotricity is charging £3 per 45mins for rental of the charger, in addition to the 17p/kWh for the energy, so if only drawing 16.5kW you are paying in effect over 40p/kWh), and it's also too slow for practical purposes at motorway service areas - your 45 minute session only gets you 12kWh, or about 36 miles.
If you expect to charge regularly at Ecotricity, buy the CHAdeMO adapter - it will charge more than twice as fast.