The phrase "after a maximum of" is correct and usable in written English.
It can be used to indicate a time limit or duration after which something will occur or be expected to occur.
Example: "The project should be completed after a maximum of two weeks from the start date."
Alternatives: "within a maximum of" or "after no more than".
Brannstrom said the transplanted wombs would be removed after a maximum of two pregnancies.
Cobra health care continuation benefits now expire after a maximum of three years.
I look after a maximum of three animals at one time, so that I can provide the best care possible.
Two in five teenagers – and particularly older girls – were using Snapchat, a photo- and video-sharing app where messages disappear after a maximum of 10 seconds.
We agree that jobseeker's allowance claimants aged under 25 should be referred to the programme after a maximum of six months.
The deal called for the embargo to be lifted after a maximum of eight years for ballistic missiles and five years for conventional weapons.
The group had argued among other things that a Gurkha who retired after a maximum of 17 years service received a pension equivalent to $150 a month, compared with $1,030 for his British counterpart after 22 years' service.
The only stipulation is that after a maximum of three months, a family must look for other sources of help, though the organization will often contact counselors or social workers and try to get discounts for tutoring and other services.
"Lesson to carriers: do everything in your power to replace your customers' defective phones after a maximum of 15 support calls," writes Chris Ziegler of the blog engadget (engadget.com).
The group also wants entitlement to a professional development programme, leading to qualified teacher status for all teachers after a maximum of two years' induction, and a master's-level professional qualification after five years.
But it must be given back to them after a maximum of 20 years.
