From "The Walking Dead: What Happened and What's Going On (#5.9)"
[Michonne talks to Rick and Glenn about what the group needs to do, seeing the sliced up corpses on the ground
Washington. Eugene lied about a cure, but he thought of Washington for a reason.
But he was lying.
About the cure, but he did the math and realized that Washington was the place where there would be a chance. We're close. What if there are people there? Huh? What if it's someplace we can be safe. We're 100 miles away. It's a possibility. It's a chance. Instead of just being out here. Instead of just making it. Because right now, this is what making it looks like.