In Lucas-Kanade Optical Flow Method, what can be the maximum Euclidean Distance between tracked point pairs?

Question

I am using Lucas-Kanade Optical Flow Method to track the points from one image to the next one. In OpenCV, there is an easy to use function:

void cv::calcOpticalFlowPyrLK (
    InputArray       prevImg,
    InputArray       nextImg,
    InputArray       prevPts,
    InputOutputArray nextPts,
    OutputArray      status,
    OutputArray      err,
    Size             winSize = Size(21, 21),
    int              maxLevel = 3,
    TermCriteria     criteria = TermCriteria(TermCriteria::COUNT+TermCriteria::EPS, 30, 0.01),
    int              flags = 0,
    double           minEigThreshold = 1e-4 
)

After I got the tracked points in nextPts, I iterated through all the point pairs and calculated the Euclidean distance:

    diff_x = prev_pt.x - curr_pt.x;
    diff_y = prev_pt.y - curr_pt.y;
    euclidean_dist = sqrt(pow(diff_x, 2) + pow(diff_y, 2));

During the iterations, I also kept the track of maximum distance and to my surprise it turned out to be as high as around 500 px!! How's that even possible!? Because the size of the search window at each pyramid level i.e. winSize is set to cv::Size(21, 21). So, the maximum distant point pairs will look like this:

Hence, from my understanding, for winSize = cv::Size(21, 21), the maximum distance cannot go beyond 14.14 px, right?

(Here is how I got 14.14 number):

Pi = cv::Point(10, 10)
Pj = cv::Point(20,  0)
diff_x = 10
diff_y = 10
euclidean_dist = sqrt(10^2 + 10^2) 
               = sqrt(200) 
               = 14.14

So, I don't understand why I'm getting the maximum Euclidean distance between tracked point pairs as high as around 500 px.

As per the OpenCV documentation, the parameter description for winSize says:

winSize - size of the search window at 'each' pyramid level.

Does that mean winSize remains constant even when the image is down-scaled in the pyramid? Because of that, some point pairs might be within the search window at upper levels of the pyramid?