Supersymmetric implementations of the Twin Higgs mechnism solve the hierarchy problem, while alleviating fine-tuning present in supersymmetry. We propose twin stau as a charged candidate for dark matter. The correct relic abundance is obtained for masses between 450 and 500 GeV. Self-interaction constraints from ellipticity measurements are easily satisfied due to large contributions to twin stau mass from supersymmetry breaking. We also show the effects of increasing the breaking scale of accidental $SU(4)$, which controls the fine-tuning of the scenario. Interestingly, this scale is bounded from above, which corresponds to the worst tuning of the scenario around 1\%.