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Nd and Tm-doped Lu-admixed BaY2F8 crystals were grown by micro-pulling-down method. Lu was added to modify the host matrix to suppress the unwanted energy transfer from exciton levels to the Tm3+ 4f-levels. It was found that low Tm and Nd codoping does not bring much improvement of the scintillation performance and that 1%Nd-doped BaY0.8Lu1.2F8 single crystal reached nearly the same scintillation efficiency as the LaF3:Nd8% one, which is known as a suitable candidate for a VUV scintillator. It is clear there is a considerable room for an optimization of this material by changing the Lu/Y ratio and increasing the content of Nd. On the other hand, very high Tm concentrations (around 20%) suppress the excitonic emission (and also the 4f-4f emission) while increasing the 5d-4f one significantly.