Problem is the server only supports SSLv3:
openssl s_client --starttls smtp -connect mail.dnk-diagnostika.ru:25
---
New, SSLv3, Cipher is DHE-RSA-AES256-SHA
Even if you select Secure connection: No, but the server advertises StartTLS, we try it and the fail because of the old TLS version.
Please update you mailserver to support a recent TLS version.
Ralf