A new Model X comes with a Mobile Connector Bundle capable of charging at up to 32 amps, which would be good for roughly 20 miles range per hour of charging when hooked up to an appropriate outlet (such as a NEMA 14-50). Some may still have the older Universal Mobile Connector, which supported up to 40 amps (again, via NEMA 14-50) for 25 miles/hour. It's unlikely you'll be able to talk your DS into getting you the higher-power one.
If you're really concerned about charge speed at home, install a Tesla Wall Connector. It'll offer up to 46 miles/hour of charge speed, assuming you hook up high a 90 amp line.
The only 'more powerful' UMC would be getting one of the older models on eBay or somewhere. The reason they moved to the new model was to cut down on overheating (different connections of the plug adapter pins). As Derek says, if you care about the 8 extra amps, it's better to get the HPWC/Wall Connector and do a permanent installation.