The changes you've made in /etc/ssh/ssh_config
and /etc/ssh/sshd_config
are correct but will still not have any effect.
To get your configuration working, make these configuration changes on the client:
/etc/ssh/ssh_config
Host *
ServerAliveInterval 100
ServerAliveInterval The client will send a null packet to the server every 100 seconds to keep the connection alive
NULL packet Is sent by the server to the client. The same packet is sent by the client to the server. A TCP NULL packet does not contain any controlling flag like SYN, ACK, FIN etc. because the server does not require a reply from the client. The NULL packet is described here: https://www.rfc-editor.org/rfc/rfc6592
Then configuring the sshd part on the server.
/etc/ssh/sshd_config
ClientAliveInterval 60
TCPKeepAlive yes
ClientAliveCountMax 10000
ClientAliveInterval The server will wait 60 seconds before sending a null packet to the client to keep the connection alive
TCPKeepAlive Is there to ensure that certain firewalls don't drop idle connections.
ClientAliveCountMax Server will send alive messages to the client even though it has not received any message back from the client.
Finally restart the ssh server
service ssh restart
or service sshd restart
depending on what system you are on.
TCPKeepAlive yes
?autossh
...screen
instead. But I'm still upvoting your question because I'm experiencing the same issue after only a minute or two.