Where it says in your screenshot IPV4: No Network Access, I think it should say No Internet Access. Can you ping one machine from the other and vice versa? (look that up, if you need to. And also how to turn on ping/echo response also -
https://activedirectorypro.com/allow-ping-windows-firewall/ noting that win10 may be different to win7). When you check ipconfig via the command prompt, are the addresses you've listed the right ones? If you haven't set static IP addresses, i would do things that way.
The TP settings for Outrun 2 require: (my settings in brackets)
PC IPV4 address (192.168.1.101/102)
subnet mask (255.255.255.0
Gateway (192.168.1.1 - my router's IP)
DNS1 (192.168.1.1 - again)
DNS2 (0.0.0.0)
Are you using an unmanaged switch, an old router, or just trying to connect the two PC's?