Stacked-graphene carbon nanotubes (SG-CNTs) obtained via pyrolysis of columnar superstructures of polycyclic aromatic hydrocarbons are studied by electrical transport measurements and scanning photocurrent microscopy. The charge transport in individual SG-CNTs (see figure) is found to be dominated by variable range hopping. Their photoconductive properties render the SG-CNTs of interest for photodetector applications.