Folks interested in the state of the art of this kind of DPI evasion might want to check out obs4, which is a "look-like nothing obfuscation protocol", and the default pluggable transport for connecting to tor bridges from places where tor is blocked.

obs4: https://github.com/Yawning/obfs4

obs4 in tor: https://support.torproject.org/glossary/obfs4/