This data file is tricky because of the unique combination of delimiters. It does use a simple tab or a fixed space.
I was able to import the data using the MATLAB import Data GUI:
I found that a combination of two custom delimiters acting as a single delimeter worked best (three spaces: 'SpaceSpaceSpace' and five spaces:'SpaceSpaceSpaceSpaceSpace'):
You can either import your data directly through the GUI or use it to create a script or function. I've attached a function which was created by MATLAB which should work for your data.
Here is a plot of the data for verification: