DNS Reverse lookup not working

Your other machine does not magically know that it should ask your nameserver about 1.10.168.192.in-addr.arpa. It will ask a recursive resolver (or possibly recurse itself) to resolve the name for it starting from the root, and that recursion will tell it that all of 168.192.in-addr.arpa. is handled by the name servers blackhole-1.iana.org and blackhole-2.iana.org. You can guess from their names what those servers actually do.

If you want that reverse lookup to work, it's not enough to set up a zone for the reverse data you want to provide. You also need to make it so that the machines that should see that information ask your server instead of the global DNS tree.

When specifying PTR records using the in-addr.arpa domain, the least significant part of the network IP address should come before the remaining parts, i.e., the reverse of the usual way of specifying IP addresses in dot-decimal notation.

From Wikipedia article on Reverse DNS lookups

Reverse DNS lookups for IPv4 addresses use a reverse IN-ADDR entry in the special domain in-addr.arpa. In this domain, an IPv4 address is represented as a concatenated sequence of four decimal numbers, separated by dots, to which is appended the second level domain suffix .in-addr.arpa. The four decimal numbers are obtained by splitting the 32-bit IPv4 address into four 8-bit portions and converting each 8-bit portion into a decimal number. These decimal numbers are then concatenated in the order: least significant 8-bit portion first (leftmost), most significant 8-bit portion last (rightmost). It is important to note that this is the reverse order to the usual dotted-decimal convention for writing IPv4 addresses in textual form.

In your case, 172.16.0.in-addr.arpa should be re-written in all your BIND configuration files as 0.16.172.in-addr.arpa. E.g., here’s how the zone file should look:

$ORIGIN .
$TTL 604800     ; 1 week
0.16.172.in-addr.arpa IN SOA  braintree.mosek.intranet. admin.mosek.com. (
                            79         ; serial
                            604800     ; refresh (1 week)
                            86400      ; retry (1 day)
                            2419200    ; expire (4 weeks)
                            604800     ; minimum (1 week)
                            )
                    NS      braintree.mosek.intranet.
$ORIGIN 0.16.172.in-addr.arpa
$TTL 3600       ; 1 hour
179                     PTR     harbinger.mosek.intranet