What's the goal here: clock slew, fast convergence, or clock accuracy?
ntp is designed for slow convergence.
The usual way to get ntpd to immediately notice changes in the configuration file is (and I think this is documented) is to restart the daemon.
As for controlling polling and the speed of (hopefully) convergence, see the ntp documentation over at the
http://www.ntp.org/ site.
tinker of 60? That value implies a need a local timebase if the configuration can't tolerate a slew minute or so; I'd not look to have ntp punt for that low a skew value. The default value for clock slew is fairly tolerate before ntp punts, which implies you have specific (and unstated) requirements for synchronization.
ntp steps if the time is off by 128 ms or more, and punts entirely if the value is off by 1000 s or more, or by 60 s in this case. This latter value is what you had asked for.
If out by 128 ms or more, the clock will be stepped (with the assistance of the clock information from the drift file) toward the right value.
The max drift per step is around 500 ppm IIRC, so larger skews can take a while for the running time to converge.
If you need faster convergence, some implementations will let you drop maxpoll and minpoll. Some don't honor that. I don't know off-hand if the particular IP stack you're using here allows alternate polling intervals. (This scheme is also sometimes combined with a request to immediately set the clock (right) once on startup, but I've not used that mechanism.)