The low-energy structure of the neutron-rich nucleus 68Ni has been investigated by measuring the β decay of
the low-spin isomer in 68Co selectively produced in the decay chain of 68Mn. 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.