The average of 6 consecutive odd numbers is 64. Greatest of them is

Let the 6 consecutive odd numbers be expressed around a central variable $x$ as:
$$x-5,x-3,x-1,x+1,x+3,x+5$$

The average of these 6 symmetrically spaced numbers is simply the midpoint value, $x$.
Given that the average is $64$:

$$x=64$$

The 6 consecutive odd numbers are:

* $64-5=59$
* $64-3=61$
* $64-1=63$
* $64+1=65$
* $64+3=67$
* $64+5=69$

The greatest of these numbers is $x+5=64+5=69$.