Android: After the third touch all touches get cancelled

I am using Unity Remote 5 with Unity 5.6.0f3 to debug some touch inputs from my mobile Android device with Android 6.0.1 like so:

 using UnityEngine;
 
 public class TouchInput : MonoBehaviour
 {
     private void Update()
     {
         int tapCount = Input.touchCount;
 
         Debug.Log(tapCount);
 
         for (int i = 0; i < tapCount; i++)
         {
             Touch touch = Input.GetTouch(i);
 
             switch (touch.phase)
             {
                 case TouchPhase.Began:
                     Debug.Log(touch.fingerId + " Began");
                     break;
 
                 case TouchPhase.Canceled:
                     Debug.Log(touch.fingerId + " Canceled");
                     break;
 
                 case TouchPhase.Ended:
                     Debug.Log(touch.fingerId + " Ended");
                     break;
 
                 case TouchPhase.Moved:
                     Debug.Log(touch.fingerId + " Moved");
                     break;
 
                 case TouchPhase.Stationary:
                     Debug.Log(touch.fingerId + " Stationary");
                     break;
             }
         }
     }
 }

The problem is that the first two touches get cancelled after I have more than two fingers down with the third touch not even getting registered.

I tried opening a new project and writing a fresh script for it, but it didn't solve the problem.
I even tried using TouchScript, but that wasn't working either.

Is that a common problem in Unity or am I doing something wrong?