I Draw a line of 10 tubes
I draw a line of 70 tubes perpendicular

Union All maybe 15-30 seconds
Cut by a line above the line of 10 tubes

Select all
Draw a line of 6 copy of the "selection"

Select all
Boolean Union - 2 minutes

Total times elapsed 2.15 minutes or maybe 2.30 (i7 - 2014 windows 10)
so 4900 tubes intersections / Unions as result

155 megas (3dm): Challenge is open! :)