My Canon zoom is pretty @#!*% sharp, however it certainly wouldn't match the weight requirement that you're talking about, of course it is going to be heavier because of all the additional glass in order to hit all of those ranges, however if you added up a 70 and 80 and 90 and 100 and 135 150 and 180 and a 200mm and put them altogether that would be much much heavier
But I typically carry 35, 50, 105. Sometimes just a 28 and a 50. Often just one lens, usually the 35/2.