  Production yields of single-$\Lambda$ hypernuclei from simulated peripheral
annihilations of antiprotons after capture on various target nuclei are
reported. The initial annihilation process and the production of excited
hypernuclei are estimated within the GiBUU transport framework, while their
deexcitation process is treated with the ABLA++ code. The yield of excited
hypernuclei range from $\sim$ 0.3% for $^{16}$O to $\sim$ 1.2% for $^{132}$Xe
per annihilation, consistent with previous measurements at LEAR, CERN. The
yield of specific ground state hypernuclei after deexcitation reaches up to a
few 10$^{-4}$ per annihilation. The hypernuclei are produced in strangeness
exchange reactions occuring between a nucleon of the target and the kaons
originating from the annihilation in $\sim$ 80% of the cases, while the
strangeness pair production in secondary pion-nucleon collision contributes to
the remaining $\sim$ 20%. The simulations indicate that antiproton
annihilations at rest on different nuclei could populate a wide range of so-far
unexplored hypernuclei.
