You CAN perform Pass-The-Hash attacks with NTLM hashes.
You CANNOT perform Pass-The-Hash attacks with Net-NTLM hashes.
You get NTLM hashes when dumping the SAM database of any Windows OS, a Domain Controller's NTDS.dit database or from Mimikatz (Fun fact, although you can't get clear-text passwords from Mimikatz on Windows >= 8.1 you can get NTLM hashes from memory). Some tools just give you the NT hash (e.g. Mimikatz) and that's perfectly fine: obviously you can still Pass-The-Hash with just the NT hash.
You get Net-NTLMv1/v2 (a.k.a NTLMv1/v2) hashes when using tools like Responder or Inveigh.