The High Energy LHC (HE-LHC) proton-proton collider is one of the options being explored in the framework of the Future Circular Collider (FCC) study. The design of the HE-LHC is based on the existing 27-km LHC tunnel with the goal of reaching a centre-of-mass beam energy of about 25 TeV at a peak luminosity of a least 2.5×10^35 (1/cm^2/s). The HE-LHC requires novel dipole magnets, based on Nb3Sn superconductor, with a field of 16 T, about a factor of two higher than for the present LHC dipoles made from Nb-Ti. Such 16 T magnets are also under development for a proposed 100-km 100 TeV collider (“FCC-hh”). A major concern for HE-LHC is the dynamic aperture at injection energy, in view of possibly degraded field quality for the new superconductor, the potentially large energy swing between injection and top energy, and the (slightly) reduced aperture of the magnet cold bore. Another consideration is the required maximum field in quadrupoles, sextupoles and other magnets, for which it may be cost-effective, wherever possible, to stay with Nb-Ti technology. The goal of this study is to design a possible HE-LHC injection lattice that fits the present LHC geometry, provides sufficient dynamic aperture in presence of large non-linear field errors in the dipoles, and minimizes the required field in quadrupoles and sextupoles. The initial design and the results of dynamic aperture calculations with dipole systematic field errors are presented.