A look at some GWR gradient diagrams suggests that the summit is at Solihull, although the scale is too small to be sure. However, northbound trains ascend to Dorridge station, after which it is undulating to Solihull. Saunderton summit appears to be slightly lower and Ardley considerably.
(Source: GWR Goods Train Working, Volume One; Atkins.)
I make it ten tunnels with one on the Up line only and including the Gerrards Cross monstrosity. Most tunnels are fairly short. The longest are St Johns Wood (1609 yards) and Ardley (1155 yards).