I assume you are going to make the peptide on resin. You can buy glutamic
acid resin conjugated to the resin for head to tail ligation. Your sequence
should be okay, but remember that longer you make it, the harder it will be.
Do not add proline to the sequence, the solid phase synthesis hates proline
and you will likely to fail the elongation after the proline residue.
However, if you like challenge, feel free to do so. The final cycolization
could be tricky, too. You might not be able to do it on resin if the
formation of the ring is not favorable. If you cannot do it on resin, then
you need to cleave off from resin and do a high dilution reaction.
If you want procedures, go request a Novabiochem catalog, its backpages are
literally a textbook on peptide synthesis.