I was intrigued by this question, so for my exercise today I cycled to Whitwell Farm Cutting nature reserve, just south of Nottingham . The bridge there crosses a double track section of what was the GC main line.
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From the colour of the bricks and the design, I think the bridge there is an original dating from 1899. The structure gives 7.93m clearance between the vertical sides and is 5.37m tall from the ground to the centre of the arch, measured by a handheld laser tape measure. I don't know how these dimensions compare with other lines - I'll see if I can measure a bridge on the MML from above somehow.
Anyway, I overlaid this image with the MS&LR clearance diagram that HWL so kindly pointed us to, scaling it against the far edge of the arch (i.e. against the inner black arc in the image)
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There seems to be plenty of room horizontally, but not that much vertically. So my guess is that this bridge was designed to allow the possibility of having wider rolling stock at a later date.
Or that over time the ground level has built up naturally to be higher than rail level.

