Because we lack the technology.
Just because an idea can be enunciated, doesn't mean that the technology or knowledge exist to implement it. Even if the means could be found to produce a ship which can continuously generate nuclear explosions, a thousand other technical problems would have to be solved to make it usable, and to reach and sustain the monumental speed you are suggesting. Among the thousand issues might be:
1. What kind of materials would be required for the combustion chamber to sustain themselves against thousands of nuclear explosions?
2. What kind of radiation shielding would be required when every speck of interstellar dust hit the ship at 10% the speed of light?
Have you ever actually worked on any technical development project? I hate to say it, but the idea that we could just whip this out in the reasonably near future sounds a little naive to me.