Ping and web traffic are different things. It's not uncommon for ping (ICMP) to be disabled and in this case only be allowing 443/tcp for https connections.
BTW I can ping from where I'm at, so it's also possible that you connection isn't allowing out ping on your end:
> ping
www.safe-mail.net
PING
www.safe-mail.net (212.29.227.81) 56(84) bytes of data.
64 bytes from orange.safe-mail.net (212.29.227.81): icmp_seq=1 ttl=44 time=139 ms
64 bytes from orange.safe-mail.net (212.29.227.81): icmp_seq=2 ttl=44 time=140 ms
64 bytes from orange.safe-mail.net (212.29.227.81): icmp_seq=3 ttl=44 time=140 ms
64 bytes from orange.safe-mail.net (212.29.227.81): icmp_seq=4 ttl=44 time=140 ms
64 bytes from orange.safe-mail.net (212.29.227.81): icmp_seq=5 ttl=44 time=140 ms
^C
---
www.safe-mail.net ping statistics ---
5 packets transmitted, 5 received, 0% packet loss, time 4005ms
rtt min/avg/max/mdev = 139.737/140.370/140.640/0.330 ms