can the mycobacterium avium construct the P.P.D. 13mm and sometimes 26mm?

Yes.
FALSE-POSITIVE reactions to the tuberculosis skin experiment typically occur because of:
# an infection near nontuberculous mycobacteria(e.g. MAV)
# BCG vaccination
An infection beside nontuberculous mycobacteria is an infection caused by mycobacteria except M. tuberculosis.
The BCG vaccination is a vaccine used for preventing tuberculosis contained by many countries. However, it is impossible in the United States because of concerns next to its effectiveness.
Regardless of the justification for the positive result, further evaluation of the test site should be examined by a healthcare professional.
FALSE-NEGATIVE Tuberculosis skin tryout occurs:
Anergy
When a person's immune system is feeble by a disease, such as HIV, cancer or even severe Tuberculosis itself, the body may not be able to counter to the Tubercuolsis skin test.
Recent Tuberculosis Infection
If a creature has be infected within the recent past ten weeks, the body's immune system may not be able to take action to the tuberculin. This is because the Tuberculosis skin test cannot detect a Tuberculosis skin infection for several weeks after infection.
Age
Babies smaller amount than 6 months old may hold false-negative Tuberculosis skin test results because their immune systems are not fully developed but.
Test Administration
A false result may occur if the Tuberculosis skin audition is not administered correctly.