The only military to have done more building than fighting.
I think that I must disagree - both the British and American military have built much and over a much larger geographic area and done so in both war and peace.
Now if you made it built in stone, I would surely agree. [grin]
They probably all do that. :’) Most armies spend most of their time not fighting; the Roman army spent most of their time constructing roads, bridges, forts, and (from time to time) walls (besides Hadrian’s and the Antonine walls in Britain, they also built the Limes in Germany). And of course, Drusus (brother of Tiberius, perhaps the best generals who were also brothers ever produced by Rome) dug that canal to reroute part of the Rhine in order to move troops and supplies by water instead of overland.