  We present a class of spherically symmetric vacuum solutions to an
asymptotically safe theory of gravity containing high-derivative terms. We find
quantum corrected Schwarzschild-(anti)-de Sitter solutions with running
gravitational coupling parameters. The evolution of the couplings is determined
by their corresponding renormalization group flow equations. These black holes
exhibit properties of a classical Schwarzschild solution at large length
scales. At the center, the metric factor remains smooth but the curvature
singularity, while softened by the quantum corrections, persists. The solutions
have an outer event horizon and an inner Cauchy horizon which equate when the
physical mass decreases to a critical value. Super-extremal solutions with
masses below the critical value correspond to naked singularities. The Hawking
temperature of the black hole vanishes when the physical mass reaches the
critical value. Hence, the black holes in the asymptotically safe gravitational
theory never completely evaporate. For appropriate values of the parameters
such stable black hole remnants make excellent dark matter candidates.
