The original website for this game had a registration system and held records of the times people have beaten the track in.
Wayback machine has a snapshot from 2010 which has the leaderboard:
1. yenilmezjexa 03:07.355
2. hackerjexa 03:10.286
3. yenilmzjexa 03:11.288
4. federaljexa 03:12.639
5. prinzzz 03:12.821
6. jexa 03:12.869
7. frivolo 03:13.665
8. axeseytan 03:16.053
9. Selcuk42 03:16.140
10. crazy_KsK 03:17.124
An older snapshot from 2008 has an older version of this leaderboard:
11. Khons 03:17.905
12. ikizler24 03:17.938
13. peopleshit 03:18.653
14. muratozay67 03:19.175
15. asecking 03:19.428
16. GEZMC 03:20.785
17. hakko01 03:20.885
18. abbass 03:20.897
19. yusufceylan 03:21.042
Fun fact: This game was released before the main transit system of Istanbul was built. But it has the transit system within the game and the website promotes itself with this.
I didn't know the speedrun page was already opened but I did manage to record a speedrun in 2020, i will time and post it here.