Packet loss and huge delays on data interfaces of LTM VM on VMWare

ok, you are taking about delay. The ping you show tell us nothing. Can you run capture on the big-ip against the service.

e.g tcpdump -s0 -vvv -nni 0.0:nnnp -w /var/tmp/$HOSTNAME.pcap host < client_ip>

Access one of the affected vips, get the issue, stop the capture. Show us client and related server side flow using screen shots. include time column in the wireshark. Then you can see where the delay is.