You should be using the same Random instance throughout instead of creating a new one each time.
As you have it:
for ...
Random r = new Random();
string += r.Next(4);
the seed value is the same for each (it defaults to the current timestamp) so the value returned is the same.
By reusing a single Random instance like so:
Random r = new Random()
for ...
string += r.Next(4);
Each time you call r.Next(4)
the values are updated (basically a different seed for each call).