`date +%a`.tgz . will create weeks backups , so you need not to remove something manually
# ls -la /run/backup/vps/vps.114.*
-rw-r--r-- 1 root root 331796688 Mar 3 03:02 /run/backup/vps/vps.114.Fri.tgz
-rw-r--r-- 1 root root 334626104 Mar 4 03:02 /run/backup/vps/vps.114.Sat.tgz
-rw-r--r-- 1 root root 334739946 Mar 5 03:03 /run/backup/vps/vps.114.Sun.tgz
-rw-r--r-- 1 root root 327671111 Mar 2 03:02 /run/backup/vps/vps.114.Thu.tgz
-rw------- 1 root root 332621673 Feb 28 21:42 /run/backup/vps/vps.114.Tue.tgz
-rw-r--r-- 1 root root 332639290 Mar 1 03:03 /run/backup/vps/vps.114.Wed.tgz