With IPHost Network Monitor you can run simple snmp requests against a Cisco device in your network.
mplsTunnelInstancePriority
mpls Tunnel Instance Priority
This value indicates which priority, in descending order, with 0 indicating the lowest priority, within a group of tunnel instances. A group of tunnel instances is defined as a set of LSPs with the same mplsTunnelIndex in this table, but with a different mplsTunnelInstance. Tunnel instance priorities are used to denote the priority at which a particular tunnel instance will supercede another. Instances of tunnels containing the same mplsTunnelInstancePriority will be used for load sharing.
Back to MPLS-TE-STD-MIB MIB page.
IPHost Network monitor allows you to monitor mplsTunnelInstancePriority on Cisco device via the SNMP protocol. Download IPHost Network Monitor (500 monitors for 30 days, 50 monitors free forever) to start monitoring Cisco switches right now.