Trust me this is wrong. I did a course on relativity at uni (and got 86%, yeah I'm the man). The journey will appear shorter for observers on earth, but for the people in the spaceship it will take exactly the same amount of time.
As the experiment I linked to shows, less time passes for people travelling at high velocity, hence why the clock on the plane shows it has experienced less time than those on earth.
What you are suggesting is basically amounts to travelling faster than the speed of light (speed = distance/time, so 25000 light years / a few days would be greater than c, i.e. impossible).
Your forgetting lorentz contraction, from the people on the shuttles reference, the distance they have to travel is shorter, if they were travelling at 99% the speed of light the distance between the shuttle and the nearest galaxy would only be 3,571 light years away from their perspective, not 25,000.
There's a million videos on youtube of professors explaining this.
http://www.youtube.com/watch?v=UOvOFVpJOKs&feature=related
http://www.youtube.com/watch?v=VSRIyDfo_mY&feature=related
http://www.youtube.com/watch?v=gdRmCqylsME
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