Selection of the most appropriate design matrix will be determined in large part by the number of factors selected for the experimentation.
With an 8-Run Plackett-Burman design, we can look at up to 7 factors; with a 12-Run design, up to 11 factors; with a 16-Run design up to 15 factors, and with a 20-Run design, up to 19 factors.
The matrix that you select will depend on the number of factors to be experimented upon plus the method chosen to determine the experimental error.