The low-energy structure of the neutron-rich nucleus 68 Ni has been investigated by measuring the β decay of the low-spin isomer in 68 Co selectively produced in the decay chain of 68 Mn. A revised level scheme has been built based on the clear identification of β-γ -E0 delayed coincidences. Transitions between the three lowest-lying 0 + and 2 + states are discussed on the basis of measured intensities or their upper limits for unobserved branches and state-of-the-art shell model calculations.