2X YT medium contains double the concentration of yeast extract compared to typical LB medium. It is useful for the growth and maintenance of high density of cells for a longer growth period. It contains 16 g/L tryptone, 10 g/L yeast extract and 5 g/L NaCl.
This is a list of paper related to the propagation of M13 for different purposes and different scales.
I hope it can help you to find out the best approach to propagate your M13 stocks.
[1] Jurač, K., Nabergoj, D., & Podgornik, A. (2019). Bacteriophage Production Processes. Applied Microbiology and Biotechnology, 103(2), 685–694. https://doi.org/10.1007/s00253-018-9527-y
[2] Harwood, A. J., & Tomley, F. M. (2003). M13 Phage Growth and Single-Stranded DNA Preparation. In Basic DNA and RNA Protocols. https://doi.org/10.1385/0-89603-402-x:359
[3] Smits, M. A., Simons, G., Konings, R. N. H., & Schoenmakers, J. G. G. (1978). Expression of Bacteriophage M13 DNA in vivo. Biochimica et Biophysica Acta (BBA) - Nucleic Acids and Protein Synthesis, 521(1), 27–44. https://doi.org/10.1016/0005-2787(78)90246-0
[4] Kick, B., Behler, K. L., Severin, T. S., & Weuster-Botz, D. (2017). Chemostat Studies of Bacteriophage M13 Infected Escherichia coli JM109 for cCntinuous ssDNA Production. Journal of Biotechnology, 258, 92–100. https://doi.org/10.1016/j.jbiotec.2017.06.409
[5] Kick, B., Hensler, S., Praetorius, F., Dietz, H., & Weuster-Botz, D. (2017). Specific Growth Rate and Multiplicity of Infection Affect High-Cell-Density Fermentation with Bacteriophage M13 for ssDNA Production. Biotechnology and Bioengineering, 114(4), 777–784. https://doi.org/10.1002/bit.26200
[6] Grieco, S.-H. H., Wong, A. Y. K., Dunbar, W. S., MacGillivray, R. T. A., & Curtis, S. B. (2012). Optimization of Fermentation Parameters in Phage Production Using Response Surface Methodology. Journal of Industrial Microbiology & Biotechnology, 39(10), 1515–1522. https://doi.org/10.1007/s10295-012-1148-3
[7] Warner, C. M., Barker, N., Lee, S. W., & Perkins, E. J. (2014). M13 Bacteriophage Production for Large-Scale Applications. Bioprocess and Biosystems Engineering, 37(10), 2067–2072. https://doi.org/10.1007/s00449-014-1184-7
[8] Machida, K., & Imataka, H. (2015). Production Methods for Viral Particles. Biotechnology Letters, 37(4), 753–760. https://doi.org/10.1007/s10529-014-1741-9