Event code 16 is OFDM Profile Failure and event code 24 is OFDM Profile Recovery. When you see code 16 followed shortly by code 24, that means there was a brief burst of noise on the line that caused some minor errors so the modem temporarily switched to a more robust OFDM profile then switched back to the original profile after the noise was cleared up.
If you're occasionally seeing event code 16 for profile 3 that's nothing to worry about. No cable line can resist all noise. If you're starting to see event code for profile 2 or 1, that means the noise is getting worse. Event code 16 for profile 0 means that OFDM failed completely and that would be more of a problem.
Judging from number of uncorrectable codewords shown and the T3 timeout in the logs, you appear to have a problem with noise on the line. But the real things you want to be looking at are the T3 timeouts and uncorrectable codeword counts. The event code 16 is the least of your worries.