The transaction SOLAR_PROJECT_ADMIN
there is a button for transport project
so select the project and transport it to the target system
but before tranporting the project all the documents should be released
u can also transport implementation project.
But in your case as you told its a template project then their will be no issue
This button only transports the project itself, when you also want to transport logical components and system info from SMSY SOLAR_MIGRATION is better.
Feel free to ask any query