Clustering Game Data (x-Position, y-Position and Time)

I want to find out what main positions (six main clusters) could be found into the data set out of spatial data over total game duration. I should use clustering methods but don't know how to calculate euclidean distances of six objects over total time. I think my problem is the time variable (not 2D-Data anymore).

I attached one of my datasets and hope somebody could help me solve the problem.