The 41-17 success backed up victories over Coventry Welsh, Berkswell and Balsall and Alcester to strengthen their grip on sixth place in Midlands 3 West South after nine rounds of action.
Only once before has the Red and Blacks achieved a four-game winning sequence at this level rugby and that came in October 2016.
Buoyed by a 26-man strong midweek training session and fielding a second team back at the Griff and Coton, Park travelled the short distance to winless Dunlop in murderous mood.
However, cautionary words regarding the threat possessed by their hosts rang true as Park fell behind to an early unconverted try.
Park responded with 31 unanswered points.
The returning Gary Hykin got the ball rolling before Chris Goode touched down for his sixth try of the season. Both were converted by Chris Morewood.
Aaron Willis’ powerful score with Morewood’s extras made it 21-5 at the break.
Chris Kirby’s try brought up the bonus point before Willis drove over to help build a commanding lead for the visitors.
With ill-discipline creeping in and reduced to 14-men, Park took their foot off the pedal allowing Dunlop to score twice and put a try-scoring bonus point within reach.
But restored to 15 men normal business was resumed as Charlie Wilson smashed over and Kirby finished a fine team try for his second of the game to secure an emphatic win.
Meanwhile back at the G&C, Park’s second edged a combined Coventry Welsh and Old Wheatleyans team 22-20 with tries from Arron Owen (2) and David Duijvenvoorde (2).
There’s a break from league action this weekend with a development squad heading to AEI Rugby (A) on Saturday (November 10) before Midlands 3 West South returns on November 17 with the visit of Ledbury.
Win that, and Park create a first-ever Level 8 five-game winning run.