Speeding 16 mph or more over the limit
MCL 257.320a(1)(h) assesses 4 points for exceeding the lawful maximum by more than 15 mph. MCL 257.320d(3)(c) rules out any violation carrying 4 or more points, so the Basic Driver Improvement Course cannot be used for this one. This row is the section 320a schedule. On a limited access freeway on which the maximum speed limit is 55 mph or more, MCL 257.629c(1) applies instead and puts 16 to 25 mph over at 3 points and 26 mph or more over at 4, so a freeway ticket in the 16 to 25 band does not carry the 4 points that MCL 257.320d(3)(c) turns on and this row does not describe it.
What the points do
A Michigan court that convicts a driver of a moving violation sends an abstract of the conviction to the Secretary of State, and the point value from the schedule in MCL 257.320a attaches to that abstract. Points stay on a record for two years from the date of the conviction. A non-moving violation produces an abstract with no points on it, which is the whole of the difference behind a plea to one. How points reach the record goes through this in full.
The basic driver improvement course
MCL 257.320d does not cover this kind of violation, whatever a particular driver's record looks like. The exclusions in subsection (3) work by the kind of offence, and a violation that adds no points to a record has nothing for the course to withhold.
This is general information from a driver-safety school. It is not legal advice. Your court can tell you what it requires, and an attorney you hire can answer questions about your own case.