python3, 93 bytes

Result

AC

Duration

2450ms

Code [DL]

i=input().find('T')
d=-1
while 1:print(['*'*(i-d+1),'*'][d<0].rjust(i+1));d=input().find('K')

stdin

                                          T       
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                   K                              

stdout

                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                                          *
                   ************************

stderr

Traceback (most recent call last):
  File "/volume/CODE", line 3, in <module>
    while 1:print(['*'*(i-d+1),'*'][d<0].rjust(i+1));d=input().find('K')
EOFError: EOF when reading a line

strace