From the introduction: Consider algebraic surfaces in complex projective three-space \(\mathbb{P}_3\), denote by a node of such a surface an ordinary double point and by \(\mu(d)\) the maximal number of nodes of an algebraic surface of degree \(d\) in \(\mathbb{P}_3\) with no further degeneration. This note shows that \(\mu(8)\geq 168\) by giving an example of an octic surface \(X_8\) with 168 nodes. Moreover a computer generated image of \(X_8\) is presented. \(X_8\) is found within a nine-parameter family of 112-nodal octic surfaces admitting dihedral symmetry of order eight. This improves the estimate of \(\mu(8)\) given by examples of D. Gallarati [Atti Accad. Ligure Sci. Lett. 14, 44-50 (1958; Zbl 0101.38604); \(\mu(8)\geq 160]\) and H.-O. Kreiss [Ann. Mat. Pura Appl., IV. Ser. 41, 105-111 (1956; Zbl 0071.37201); \(\mu(8)\geq 160]\). On the other hand, using Miyaoka’s upper bound [Y. Miyaoka, Math. Ann. 268, 159-171 (1984; Zbl 0521.14013)] for the number of nodes of a projective surface, we get \(\mu(8)\leq 174\); thus \(168\leq \mu(8)\leq 174\). The author has made excessive use of the computer algebra system Maple V R3 computing \(X_8\). The construction of \(X_8\) involves no free parameters, and in fact D. van Straten calculated that \(X_8\) is rigid using MACAULAY.