Fastest way to get zombie kills at the moment is with the Outlast contract.
Best weapon to use for the Outlast contract is the
RGL-80 Grenade Launcher. You can find this weapon under the launchers section for your insured weapons.
Having perks can also help such as
Jugger-Nog, Speed Cola, PHD Flopper and Quick Revive. Most important perk to have I think is PHD-Flopper as the splash radius of the grenade launcher is crazy. PHD also helps with the fire from the dogs.
Also having the Raw Aetherium Crystal Schematic can be helpful also, as it will give you level 1 pack-a-punch.
Good areas to do the Outlast contract from my experience are as follows:
Seaport District - West side of the map.
I've done a few games here where I got over 4000 kills.
Orlov Military Base - North East of the Map.
I've had my best game here to date with over 5100 kills, I went up 10% in the achievement tracker in one match. If you have the zombies spawning at the dock overlooking the water you are set for lots of kills in the match.
One downside to the Orlov Military Base is that sometimes there will be a mercenary stronghold with the machine inside. You'll need to go to a Mercenary Camp and get the keycard or buy one from the buy station to open it.
Shahin Manor - Southeast side of the map.
This is where the big manor is at the bottom right corner of the map. I had a game here where I got over 4500 kills where the storm was at the top of the map.
Once you get to the Outlast contract area, start the machine and wait for it to get to about 20% or so. After this run out of the building and look for where the zombies are spawning. Another great tip is that you can somewhat change the location of where the zombies spawn by getting the generator to go over 50%. Credit
LordFightALot.
Having the storm at the opposite side of the map to where you are can help as you'll have more time to farm kills. I've done this a few times where I stayed with 4 or so minutes remaining and the final exfil chopper spawns. This will happen once all other exfil locations have been consumed by the storm.
You generally want to stay in tier 1 area for farming kills as there wont be any super sprinter zombies/disciples.
When going off the for the day, be sure to build any of the perk/weapon schematics that you have.