BIOS is actually a primitave OS, and you can update BIOS from within BIOS by having the correct BIOS update .bin file on a thumb drive that is inserted from cold boot, and then you F10 into BIOS and upgrade from the first tab in BIOS.... that has been discussed in here repeatedly. You don't boot from that thumb drive.... you boot into BIOS with the thumb drive in place and the .bin file is the only thing up at the top level of that USB drive.
Where do you get the .bin file? Download the HP SoftPaq sp71580 and run that on any PC.... that will create a SWSetup folder on root level of C. In there is a DOS folder. In that is the .bin file you want to harvest. It will give you version 3.88. You can cancel the install but the SWSetup folder will be there for you to find on root C.
If you really are way back at 1.14 you may be in trouble. Search in here for the post on "way old" BIOS and I believe that had to do with a Z620 also with geriatric BIOS. There was a "step up" procedure that had to be done to get above a certain level and only thereafter the second step up could go straight to 3.88, but only if you had done that first step up.
Regarding W10Pro64..... there are some original HP optical drives that cannot run the W10 DVD (or the W7Pro64 SP1 DVD). You can work around that by swapping in a known-good optical drive, and also you can use an external USB-attached DVD reader and properly set BIOS to boot from USB for that install. The external drive's USB bridge seems to always work in these tough cases. The reason those HP optical drives won't work is because there is not a compatible driver on the OS installer DVD for those particular pieces of hardware. If you try another DVD reader there is a good chance that it will work. I have hit this odd situation rarely all the way from the xw workstations on up. Pretty uncommon, but it does happen and those are the workarounds. There also may be a firmware flasher from HP that fixes the issue for a particular drive.
Make sure you get the important W10 system reserved partition installed.... that should be automatic by now for the MS installer, but in W7 you actually could screw up and not get in on. For W10 it will be about 500MB in size.... accept that, and don't delete that partition.