I don't think it would have anywhere approaching the kind of foundation a skyscraper would have. A quick google search and it looks like a tower crane sites on a 1.5m x 6.5m square footing. So 6 of those. Assuming the soil can handle it and the 'energy' weights act as their own foundations.

But skyscrapers are built in economically beneficial areas, whereas you can build this thing anywhere.