I've found a path for me that's 13 links long. I tried to optimise in the early links by trying to find the highest grades of opponents (going back only 1-3 years in the ECF database).
Nicky Chorley 1-0 Adrian Rutkowski (London League, 2014-11-26. Pretty happy with this win
)
Adrian Rutkowski 1-0 Victor Bluett (Surrey League, 2014-02-26)
Matt Darville 0-1 Victor Bluett (Surrey League, 2013-04-10)
Matt Darville 1-0 Daniel Staples (CCF Dicky White Tournament, 2014-01-06)
Daniel Staples 1-0 Daniel Farkas (Central London League, 2014-02-13)
Daniel Farkas 1-0 Guillaume Camus (London League, 2014-03-24)
Jovanka Houska 0-1 Guillaume Camus (4NCL, 2014-05-03)
Jovanka Houska 1-0 Antoaneta Stefanova (Women's Chess Olympiad, 2008-11-19)
Antoaneta Stefanova 1-0 Radoslaw Wojtaszek (Tradewise Gibraltar, 2013-01-24)
Veselin Topalov 0-1 Radoslaw Wojtaszek (European Club Cup, 2013-10-25)
Veselin Topalov 1-0 Vladimir Kramnik (Candidates Tournament, 2014-03-19)
Vladimir Kramnik 1-0 Anatoly Karpov (Dortmund, 1997-07-04)
Anatoly Karpov 1-0 Boris Spassky (Tilburg, 1980-11-29)
Boris Spassky 1-0 Robert Fischer (World Championship, 1972-07-11)