ITCZ
Alldaydeli,
I'm not a commercial pilot, but have paxed and jumpseated through this area (Atlantic equatorial) a no. of times.
I think you are talking about the ITCZ (Inter-Tropical Convergence Zone) or the "doldrums" as the area is otherwise known.
Others will for sure have better knowledge than me, but IIRC this is the area (between about 8 degrees N and S?) that tends to have big CB's in it pretty much every day of the year.
I recall once being told that diversions of hundreds of miles off-track are not uncommon in this area to find a hole in the weather.
I remember myself once transitting the area at FL350, with towering and pulsating CB's either side, but smooth as you like through the gap. Quite a surreal experience.