Rampant Dungannon ran in nine tries to blow Terenure's league ambitions out of the water. This win keeps the Tyrone-men on course for a top-four finish.
Richard Stafford and Andrew Hughes showed what emerging talents they are with immense displays as part of an uncompromising pack, while full-back Bryn Cunningham made a massive contribution to Ryan Constable's hat-trick.
Constable had touched down twice by half-time, with tries also coming from international pair Tyrone Howe and David Humphreys, who made a personal tally of 22 points, completed by seven conversions and a penalty.
Terenure's only score of the game came from a Richard Governey penalty midway through the half, and at halftime they trailed 29-3.
After the restart Jonathan Bell sliced through for another try, Constable completed his hat-trick, and there were further touchdowns from Jan Cunningham, a second for Howe, and Dungannon's ninth from Richard Mackey.
Scoring sequence: 8 mins: Constable try, Humphreys conversion, 7-0; 15 mins: Humphreys try, conv, 14-0; 21 mins: Governey pen, 14-3; 22 minutes: Howe try, Humphreys conv 21-3; 33 mins: Constable try, 26-3; 39 mins: Humphreys pen, 29-3; half-time: 29-3; 49 mins: Bell try, Humphreys conv, 36-3; 55 mins: Constable try, 41-3; 64 mins: Cunningham try, Humphreys conv, 48-3; 67 mins: Howe try, Humphreys conv, 55-3; 74 mins: Mackey try, Humphreys conv, 62-3.
Dungannon: B Cunningham, J Cunningham, R Constable, J Bell, T Howe, D Humphreys, S Bell, J Fitzpatrick, N Brady, G Leslie, P Johns, A Kearney, R Stafford, A Hughes, T McWhirter. Replacements: A Hood for Constable, A Clarke for J Bell, R Mackey for Kearney.
Terenure: J Coffey, D Hegarty, M O'Kelly, M Smyth, S Cullen, R Governey, K Putt, S Barretto, C Egan, J Campbell, C Long, D Quinn, A Ryan, L Hammond, P O'Malley. Replacement: B Blaney for Egan.
Referee: D Lewis (Leinster).