[Exim] TLS on a port other than 25

I have just enabled TLS in Exim on a machine that listens on port 26 in
addition to port 25 (for the purposes of getting around routing issues
with a dialup ISP). TLS works great on port 25, but an SSL connection
on port 26 is unsuccessful and nothing is logged.

The relevant lines from my configuration are:

local_interfaces = 66.122.112.170.25 : 66.122.112.170.26 : 0.0.0.0

tls_advertise_hosts = *
tls_certificate = /usr/local/ssl/certs/mail.crt
tls_privatekey = /usr/local/ssl/certs/mail.key


Anyone have an idea as to how to make it work? Thanks!

--
Mark Edwards
San Francisco, CA