Start off by clearing all the trash making sure all the Storm Beacons are killed and all Towers left up. After that is done Position yourself like this
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Then pull the boss and ram the wall in this exact spot
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Flame Leviathan should come through the laser wall and not destroy the vehicles. At this point you start to kite him towards the start of this instance. Get to the first ramp like in this pic.
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If you go up the ramp he starts to bug. Now you just stack as much pyrite as you can. Don't worry about dying to him thats the whole point. When your raid wipes FL will start to pat back to his arena. Your entire raid can quickly zone in take the teleporter get back in vehicles and re engage FL. He evades for a little bit at the start but resumes combat. His Speed stacks reset and you can rinse repeat as many times as needed until he dies.
Now for the SS's as proof.
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Shows 4 Tower Achieve and Shutout on the same day.
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Shows the Beams staying up after the fight.