Hi Christopher Burg,
About the MK22FN256LVH12 I2C code, I recommend you to refer to the SDK code from this link:
https://mcuxpresso.nxp.com/en/builder
You can download the MK22FN256LVH12 SDK code, and refer to it's I2C project.
You can modify that I2C project to meet your i2c sensor demand.
If you still have problems, then you need to use the logic analyzer tool to snatch the I2C bus wave, and associated with your sensor datasheet, check which point is not meet your sensor's demand.
Wish it helps you!
If you still have question about it, please kindly let me know.
Have a great day,
Kerry
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