Nuclei in the A∼180 region have been populated and investigated in a series of multinucleon transfer and deep-inelastic reactions involving an 11.4 MeV per nucleon 136 Xe beam produced by the GSI UNILAC accelerator, impinging on a selection of tantalum and tungsten targets. The reaction products were released from a thermal ion source and subsequently mass selected using the GSI on-line mass separator. The unexpectedly high yield of γ rays associated with the decay of the well established Kπ =37/ 2- , t1/2 =51.4 min isomer in 177 72 Hf and anomalous half-life characteristics associated with this decay lead to these data being interpreted as the β- decay of a high- K isomer in the mother nucleus, 177 Lu . By comparing the experimental findings with the predictions obtained from multi-quasiparticle blocked-BCS-Nilsson calculations, the proposed decay is suggested to be from a Kπ =39/ 2- five-quasiparticle state in 177 71 Lu . A half-life of 7±2 min is determined for this β -decay path which is estimated to have an excitation energy of ≈3.9 MeV above the 177 Lu ground state.