I suspect the chip is read protected, as mentioned on page 2 of the datasheet:
"Two configurable hardware-protected
partitions for data and code:"
They have separate protection for the boot code, which in your case seem to not be enabled...
You may need a "security key" or code to be able to read the rest of the chip. See section 3.4.1 of the datasheet:
"A protected partition may be protected by either/both of these hardware mechanisms:
• 64-bit protection key
• Hard-wired LOCK# signal"
If they used a 64 bit key, no way you can read that chip without that key.
That said, have you tried toggling the "LOCK#" pin when trying to read the chip?