Thanks for your response.
I was able to find an API endpoint describing the different models thanks to this repository.
Turns out that the GPT-4 backend for chatGPT only supports 4095 tokens 
Full response from backend-api/models:
{'models': [{'slug': 'text-davinci-002-render-sha',
'max_tokens': 4097,
'title': 'Default (GPT-3.5)',
'description': 'Optimized for speed, currently available to Plus users',
'tags': [],
'qualitative_properties': {'reasoning': [3, 5],
'speed': [5, 5],
'conciseness': [2, 5]}},
{'slug': 'text-davinci-002-render-paid',
'max_tokens': 4097,
'title': 'Legacy (GPT-3.5)',
'description': 'The previous ChatGPT Plus model',
'tags': [],
'qualitative_properties': {'reasoning': [3, 5],
'speed': [2, 5],
'conciseness': [1, 5]}},
{'slug': 'gpt-4',
'max_tokens': 4095,
'title': 'GPT-4',
'description': 'Our most advanced model, available to Plus subscribers.\n\nGPT-4 excels at tasks that require advanced reasoning, complex instruction understanding, and more creativity.',
'tags': [],
'qualitative_properties': {'reasoning': [5, 5],
'speed': [2, 5],
'conciseness': [4, 5]}}]}