GIF does not use animated JPEG. GIF is limited to max 256 colors while jpeg goes up to millions of colors, 24 or 32 bit depth. 60 frames may be a limitation of the GIF format, not sure.
apple quicktime and macromedia flash are the 2 most popular streaming animation formats. those are more suitable for your purpose. i do not know what software is used to create or edit quicktime, but macromedia's flash program is usually used to create flash. i'd start by looking in their website for more info.