1. Lc5+? Ke5 2. Ld4+ Kxd4!/Kd6! (2...Kf4/5? 3.Tf6#)
without wPe6 : 1. Lc5+ Ke5 2. Ld4+ Kxd4 3. Td6+ Ke54. Sc4+ Kf4/5 5.Tf6#)
If the white Rook stands on f6 and the square f5 is guarded then
1. Lc5+? Ke5 2. Tf5+ Kxe6 and the wPe6 is captured
So:
First step bring the Rook to f6
1. Tf6! Sg6
second step a guard for f5
2. Lc5+ Ke5 3. Sc4+ Kd5 4. Sxe3+ Ke5
third step black king must capture wPe6
5. Tf5+ Kxe6 6. Tf6+ Ke5 7. Sc4+ Kd5 8. Sb6+ Ke5 9. Ld6+ Kd4
the wPe6 is missing but also the bPe3 is missing soa block is needed
10. e3+ Txe3
and at last the main play
11. Lc5+ Ke5 12. Ld4+ Kxd4 13. Td6+ Ke5 14. Sc4+ Kf4/5 15. Tf6#
The first move is also the last one
