Unable to negotiate with ::1 port 2222: no matching key exchange method found. Their offer: diffie-hellman-group1-sha1

In this case, the client and server were unable to agree on the key exchange algorithm. The server offered only a single method diffie-hellman-group1-sha1. OpenSSH supports this method, but does not enable it by default because is weak and within theoretical range of the so-called Logjam attack.
 

no matching key exchange method found. Their offer: diffie-hellman-group1-sha1 while accessing the TEA shell from ssh client

ALL

First, please upgrade your TEA to the highest version that still works with your BW/Adapter or other applications. 

For the case of the above error message, OpenSSH can be configured to enable the diffie-hellman-group1-sha1 key exchange algorithm (or any other that is disabled by default) using the KexAlgorithms option - either on the 

1. command-line:
------------
ssh -oKexAlgorithms=+diffie-hellman-group1-sha1 user@legacyhost
------------

2. Or in the ~/.ssh/config file:
Uncomment the below line in the ssh_config file present under ~/.ssh/config (user's configuration) /etc/ssh/ (system-wide configuration)
------------
MACs hmac-md5,hmac-sha1,umac-64@openssh.com
------------

Add the below two lines at the end of the ssh_config file:
------------
HostkeyAlgorithms ssh-dss,ssh-rsa
KexAlgorithms +diffie-hellman-group1-sha1
------------

Please contact TIBCO support if you still have questions. 

https://www.openssh.com/legacy.html