Help with big arrays

Hello all,
I am working on my 5x5x5 LED cube and I starter writing some animations for it.
Every frame takes about 25 bytes and when I got to about 40-50 frames the program stopped working. I tried using const but it didn't work.

So is there a way I can use the flash memory to store big arrays of bytes?
Or I will need to use some external memory?

If youre your frames are constant arrays of data read this:

Eberhard

Thank you, thats helps a lot!