I have the same problem!
No success with zero or 300…
I have following parameters:
PHP Version: 5.6.15 64 Bit OS
Memory: Total: 256M Used: 38.65 MB
Database: 6.37 MB
Entire Site: 713.99 MB
Archive (ZIP) size ca. 60 MB
[INFO] BackWPup 3.3; A project of Inpsyde GmbH
[INFO] Log Level: Normal (translated)
[INFO] BackWPup job: Standard
[INFO] Logfile is: backwpup_log_de0d22_2016-04-14_16-14-09.html
[INFO] Backup file is: backwpup_de0d22_2016-04-14_16-14-09.zip
[14-Apr-2016 16:14:09] 1. Try to backup database …
[14-Apr-2016 16:14:09] Connected to database db757898 on nhl-mysqlw01
[14-Apr-2016 16:14:10] Added database dump "db757898.sql" with 5,68 MB to backup file list
[14-Apr-2016 16:14:10] Database backup done!
[14-Apr-2016 16:14:10] 1. Trying to make a list of folders to back up …
[14-Apr-2016 16:14:16] Added "wp-config.php" to backup file list
[14-Apr-2016 16:14:16] 419 folders to backup.
[14-Apr-2016 16:14:16] 1. Trying to generate a file with installed plugin names …
[14-Apr-2016 16:14:16] Added plugin list file "XXXXXXX.pluginlist.2016-04-14.txt" with 3,67 kB to backup file list.
[14-Apr-2016 16:14:16] 1. Trying to generate a manifest file …
[14-Apr-2016 16:14:16] Added manifest.json file with 7,13 kB to backup file list.
[14-Apr-2016 16:14:17] 1. Trying to create backup archive …
[14-Apr-2016 16:14:17] Compressing files as ZipArchive. Please be patient, this may take a moment.
[14-Apr-2016 16:20:25] WARNING: Job restarts due to inactivity for more than 5 minutes.
[14-Apr-2016 16:20:26] 2. Trying to create backup archive …
[14-Apr-2016 16:20:34] Backup archive created.
[14-Apr-2016 16:20:34] Archive size is 56,83 MB.
[14-Apr-2016 16:20:34] 4538 Files with 97,66 MB in Archive.
[14-Apr-2016 16:20:36] One backup file deleted
[14-Apr-2016 16:20:36] WARNING: Job finished with warnings in 387 seconds. Please resolve them for correct execution.