Lets do some physics on the minigun of Abraham M1 cannons.
A single tank shell has a mass of 18.7 kg, and moves at 1737 m/s (muzzle velocity), this means that momentum of the tank shell is 32481.9 Ns, of a standard M1 tank that weighs 61,300 kg, assuming there is no recoiling stoppers (which would reduce the recoil in this case) this would cause the tank to move backwards at 0.52 m/s, this is reduced by recoiling forces significantly. Lets make a complete guess and just say the recoiling force reduces this by 80%, meaning that the tank would actually move at 0.12 m/s, which is not very much and is easily slowed.
The standard minigun fires at 2,000 - 6,000 RPM, we'll assume this is how fast you want. Now the firing mechanism on a tank altogether is about 2.5 tons, lets say we had 6 barrels, which would increase the weight of the tank to 73,800kg. Now if we fire this tank at the lowest bound (2,000 rpm) we are firing it at roughly 34 rounds per second. We can pretty easily calculate that the momentum of that would be an astounding 1,104,384.6 Ns. Without any recoil stabilizers, this would propel the tank back at a speed of 15 m/s (54 km/h or 33.56 MP/h) in the FIRST second. Even if we assume that only 80% of the recoil is applied to the tank, it'd still be moving at 3m/s in the first second, and increasing it's speed every second after that. It would be infeasible to put such a device on a tank.
On a human, with the average human weighing 60 kg, this amount of momentum would cause the human to accelerate to 18,406 m/s in the second. That amount of acceleration would account for 1878 g's for one second and would most certainly kill you.