Source.

You can use a commandline field in your profile configuration to initiate an SSH connection on tab creation.

Step-by-step guide:

1. Open Settings (Ctrl+,)
2. Find the "list" array in the "profiles" object
3. Duplicate a Command Prompt profile ("commandline": "cmd.exe")
4. Change the commandline value to: ssh me@my-server -p 22 -i ~/.ssh/id_rsa (use your own connection command).