Ansible is not really designed to "copy" an existing system. You'll have to create a playbook by hand.
You could take a look at https://github.com/devstructure/blueprint. It's created to reverse-engineer servers. However, it does not support Mint 13, its output is Chef, Puppet or Bash, not Ansible and it has not been updated in a few months...But that project does what you are thinking of.