A Big confusion is there.

F1 full backup

T1 Log Backup

D1 Differential Backup

T2 Log Backup

D2 Differential Backup

T3 Log Backup

F2 full backup

T4 Log Backup

D3 Differential Backup

T5 Log Backup

D4 Differential Backup

T6 Log Backup

Now If F2 is corrupt. To restore database, the sequence :

F1, D4, T6

or F1, D2, T3, T4, T5, T6

I don't think F1, D3, T5, T6 works