ntp - all my ntpd servers marked falsetick, why?

I have a set of four ntpd servers that sync time from the same stratum 1 server.

But on some clients they all are marked falsetick, why?

     remote           refid      st t when poll reach   delay   offset  jitter
==============================================================================
x10.201.24.36    209.51.161.238   2 u   12   64  377    0.177  464.794   1.136
x10.201.13.99    209.51.161.238   2 u   37   64  377    0.148  463.427   0.541
x10.201.24.37    209.51.161.238   2 u  817 1024  377    0.174  462.235   0.143
x10.201.12.198   209.51.161.238   2 u  853 1024  377    0.158  462.151 302.364
*127.127.1.0     .LOCL.          10 l   48   64  377    0.000    0.000   0.004

They recover from time to time, but why does it happen at all?
Also another question is why do I have such a big offset?
I tried to leave only 1 ntp server, but offset doesn't go down anyway.

     remote           refid      st t when poll reach   delay   offset  jitter
==============================================================================
*10.201.12.198   209.51.161.238   2 u   64   64    7    0.108  470.963   0.200
 127.127.1.0     .LOCL.          10 l  136   64   14    0.000    0.000   0.001

I am runing CentOS 7 and all servers are in the same network.

ntp.conf:

driftfile /var/lib/ntp/drift
restrict default kod nomodify notrap nopeer noquery
restrict -6 default kod limited nomodify notrap nopeer noquery
restrict 127.0.0.1
restrict lga-ntp03.pulse.prod

server lga-ntp03.pulse.prod iburst burst
restrict lga-ntp06.pulse.prod
server lga-ntp06.pulse.prod iburst burst
restrict lga-ntp05.pulse.prod
server lga-ntp05.pulse.prod iburst burst
restrict lga-ntp01.pulse.prod
server lga-ntp01.pulse.prod iburst burst
includefile /etc/ntp/crypto/pw
keys /etc/ntp/keys

Update #1
After removing LOCL (Thanks to @John Mahowald), I am still getting my servers marked as falsetick:

     remote           refid      st t when poll reach   delay   offset  jitter
==============================================================================
x10.201.24.36    209.51.161.238   2 u  886 1024    7    0.177  -330.92   0.172
*10.201.13.99    209.51.161.238   2 u  773 1024   17    0.203  -152.68   0.090
x10.201.24.37    209.51.161.238   2 u  750 1024   17    0.167   94.101   0.468
x10.201.12.198   209.51.161.238   2 u  409 1024   17    0.129   51.831   0.176