If I was trying to solve your issue, I would start with the caliper farthest from the MC, RR, LR, RF, LF in that order.
First, get a bleeder container with soft, flexible hose or similar, these are great from Motive.
Crack both rear bleeder screws if you have two containers, or just use a hose into a can and let them drip for a few min, or start with the RR.
Close the bleeders then begin the bleeding procedure. Try not to fully depress the brake pedal so it reaches the end of travel....use half presses until it tightens up then you can press the pedal fully. This lessens the risk of damage to the MC piston/seals.
Work all the way around and check the pedal travel. If you pumped a bunch of air you will likely need the ABS bleed procedure from the scanner as previously mentioned.
This works great to get the fluid pushed through the system, just add your models reservoir cap to the purchase.
I don't fill the pressure jug but just add to the reservoir.