The feat is described and shown here, and I'll be taking a few measurements from it. This is what I'll use for my original scaling if it isn't available in the first calc My main issue with the calc is that it assumes the castle was punted over 600 meters, despite it clearly just being bigger on the inside. Using this scaling Mario would also be over 100 meters tall. They also don't assume any amount of hollowness for the castle, so yeah.
Mario Height - 1.5 meters (That's a life-size statue)
Door to Height Ratio - 1.143x
1.143*1.5 = 1.7145 meters or 32 px
Door Height - 1.7145 meters
Door/Castle Ratio - 144x
144*1.7145 = 246.888 meters
Now comes the point where I have to start doing some original scaling.
Castle Height - 862 px
862/32 = 26.938x
26.9375*1.7145 = 46.1843 meters
Castle Height - 46.1843 meters
Modelling as a cylinder....
V = (pi)(r^2)(h) = 8,840,000 meters^3
Now we assume the standard 90% hollowness...
8,840,000*0.9 = 7,956,000
8,840,000-7,956,000 = 884,000 meters^3
Density of Stone - 2700 kg/m^3
2700*884,000 = 2,386,800,000 kg
Punting Distance/Castle Diameter Ratio - 1.364x
Timeframe - 0.68 seconds
1.364*493.776 = 673.5104 meters
673.5104 meters/0.68 seconds = 990.4565 m/s
KE = (m)(v^2)/2 = 1.171e15 Joules
Mario Punts a Castle - 279.9 Kilotons, Large Town level