  We propose a non-cryogenic optical quantum memory for noble-gas nuclear spins
based on the Atomic Frequency Comb (AFC) protocol. Owing to the hours-long
coherence lifetimes of the noble-gas spins and the large bandwidth provided by
the AFC independently of the optical depth, we estimate a time-bandwidth
product of up to $9.7 \times 10^{15}$ for a realistic experimental
configuration, using alkali-metal atoms as mediators. Leveraging this
long-lived multimode memory, we propose a fiber-based quantum repeater scheme
that could enable entanglement distribution across distances over $2000 \
\mathrm{km}$ with only $8$ elementary links, operating fully without
cryogenics. Finally, we discuss how these quantum memories can enhance rates in
satellite quantum communication networks.
