Six bonding pairs around a central atom results in a

 Octahedral Geometry

Explanation:  There are two types of pairs of electrons which helps to define a geometry of the molecule. These are bonding pairs and non bonding pairs of electrons. The latter is also known as Lone pair of electrons.

Thus when a central atom is surrounded by 4 bonding pairs of electrons , it will result in tetrahedral geometry.

And when six bonding pairs of electrons are around the central atom then a Octahedral Geometry will be the resultant structure as shown in the diagram.