lua, 141 bytes

Result

AC

Duration

795ms

Code [DL]

i=io.read"l"
j=i
r=i:find"T"
while not j:find"K"do
print(i)
j=io.read"l"
end
l=j:find"K"
f=i.rep
print(f(" ",l-1)..f("K",r-l+1)..f(" ",#i-r))

stdin

                                       T          
                                                  
                                                  
                                                  
                                                  
                                  K               

stdout

                                       T          
                                       T          
                                       T          
                                       T          
                                       T          
                                  KKKKKK          

stderr

strace