We report on the photo-luminescence of pairs of organic color centers in single-wall carbon nanotubes grafted with 3,5 dichlorobenzene. Using various techniques such as intensity correlations, super-localization microscopy or luminescence excitation spectroscopy, we distinguish two pairs of color centers grafted on the same nanotube; the distance between the pairs is on the order of several hundreds of nanometers. In contrast, by studying the strong temporal correlations in the spectral diffusion in the framework of photo-induced Stark effect, we can estimate the distance within each pair to be of the order of a few nanometers. Finally, the electronic population dynamics is investigated using time-resolved luminescence and saturation measurements, showing a biexponential decay with a fast overall recombination (compatible with a fast population transfer between the color centers within a pair) and a weak delayed repopulation of the traps possibly due to the diffusion of excitons along the tube axis.