This is interesting, because if I start a fresh session of Claude Code right now and run /context, I see the following:
Opus 4.8 (1M context)
claude-opus-4-8[1m]
23k/1m tokens (2%)
Estimated usage by category
System prompt: 3.9k tokens (0.4%)
System tools: 13.9k tokens (1.4%)
Custom agents: 235 tokens (0.0%)
Memory files: 28 tokens (0.0%)
Skills: 4.9k tokens (0.5%)
Messages: 8 tokens (0.0%)
Compact buffer: 3k tokens (0.3%)
Free space: 974k (97.4%)
4k tokens is 15-20kB. I'd ask you to paste that into a gist, but it might have sensitive data in it, because I suspect what you're seeing is not just the system prompt.
Apologies, you're right - I used imprecise terminology. The entire initial JSON structure that was sent from Claude Claude to the LLM at the start of a session was 162k. This included the system prompt together with a list of tools (some with very extensive explanations), MCP server details, etc.
I was simply supporting the article's data - their reported 33k tokens is probably roughly 150-165k.