Yes, we have to limit the size of jobs submitted to the MEME web application to 60kb because larger jobs would end up monopolizing the server. One solution is to install a local copy of MEME. However, be aware that running MEME on sequence databases larger than 1MB may not be practical.
This posting on the MEME Q&A site may be helpful:
The source for the MEME Suite can be downloaded
here.
The installation guide can be found
here.
The documentation for the command line version of MEME can be found
here.
Alternatively, if your sequences are highly redundant, and the motifs centrally located, (typical of ChIP-Seq data), you may be able to use
MEME-ChIP rather than MEME. The MEME-ChIP web application will accept sequence files up to 50MB. Internally it will sample 600 sequences at random from the full dataset, and then trim the sampled sequences to their central 100bp before analyzing them with MEME. A protocol for using MEME-ChIP can be found
here.