This is easy to achieve, but takes some time to set up.
Single player game
Any map size and type - but reduce AI civs down to one
Settler difficulty
Online speed
Early era start - later eras lock you out of earlier wonders
No barbarians
Pick a construction heavy civ. China or Germany are good choices for wonder building. For the AI, pick anything that isn't China. They tend to prefer wonders and you're going to want as many options as you can get.
Open the game normally, focusing on a circular layout for your first 3-4 cities. It's highly recommended you have a good mix of tile types between these cities to maximize the wonders you can build. With no barbs and only one AI on settler, you should be left alone, so feel free to skimp on army to prioritize production. Districts of choice would be industrial and campus.
The general idea is to clump seven wonders in a tight patch in the middle of your cities, then beeline your tech to nukes. Get an aerodrome up with a bomber, build your nuke (you'll need a source of uranium!), and then bomb the wonder cluster you built within your borders. Assuming all seven were close enough to be hit, the achievement will pop.