Hammming code how to understand the matrix

Question

I'm having trouble to understand how to make the matrix Below is the sample one provided in an exercise along with the matrix https://www.packtpub.com/books/content/marker-based-augmented-reality-iphone-or-ipad

It doesn't seem to match to the 5 x 5 marker bit assignment for each cell or even have enough rows... I'm not a mathematician so really scratching my head how this works.any help would be appreciated

int Marker::hammDistMarker(cv::Mat bits)
{
  int ids[4][5]=
  {
    {1,0,0,0,0},...yep make scense (white, black, b, b,)
    {1,0,1,1,1}, and then it gets weird!!
    {0,1,0,0,1},..
    {0,1,1,1,0}...please help I need my hair!!
   };

{1,0,0,0,0}, line 01

the Image below is the Marker Ive made could anyone help and would like to add can anyone help me to understand the matrix so I can use it.

ALL matrix diagrams and explainations happily accepted ;P !