Presidents of the seventies might act as Bishops Councellors or act as High Councillor without Being ordained a High Priest.
[Source: Wilford Woodruff's Journal. 9 Vols. Scott G. Kenney, ed. Salt Lake City: Signature Books, 1983-85. 6:392, in The Complete Discourses of Brigham Young, Ed. Richard S. Van Wagoner, Smith-Pettit Foundation, Salt Lake City (2009), http://bit.ly/BY-discourses]