This simple steps will allow you to move a defined Data Table to another Space, and that would save you not only time and effort, but could bring structure to the way you collect your data.
Editor rights on a Space level
If you have defined a data table and want to copy that definition to another Space, you can do this using the following steps:
Create a new process in the space with the data table
Create an activity on the level 1 diagram
Attach the data table to the activity
Copy the process to the space that you want the data table in. This will also copy the definition to the new space.
Delete the process in both spaces
TIP If the data table already exists in the new Space, it will not copy it again, so long as the definition has not been changed in either space.