Tuck pointing has nothing to do with dampness entering into the walls. The brick weep system is blocked and any wet brick is leaking into the wall.
So we need some more info.
Is the brick wall a fire wall between row homes? or is it simply the outside walls of the house?
By the sound of it your describing a row type home with brick firewalls that come up out of the roof between the units.
Is the brick exposed in the inside of the home or is plaster/sheetrock covering this?
The weep holes your describing near the top of the walls are not weep holes at all. They are the side wall vents for the attic space that is there. This is assuming the vents are close to the roof area.
Weep holes would only be seen near the top of windows and doors as well as the floor line near the first floor level. Many times these holes are filled with cement from well intentioned contractors thinking they are fixing a poor cement job. IN addition many older homes used rope as wicks that often poked through the bricks. This method is no longer used as the rope does not last nearly as long as they thought it would.
You can visit
www.bia.org on the web and you may be able to get more answers, but without knowing exactly what type of home you have it is difficult to know how to fix it.
But in any case, DO NOT use any kind of brick sealer. This stuff regardless of what they claim does not work and in many cases can destroy the surfaces of the bricks and more so if the brick is old.