  We study the spectrum of the differential operator T generated by the
differential expression of order n>2 with the m by m PT-symmetric periodic
matrix coefficients. The case when m and n are the odd numbers was investigated
in [8]. In this paper, we consider the all remained cases: (a) n is an odd
number and m is an even number, (b) n is an even number and m is an arbitrary
positive integer. We find conditions on the coefficients under which the
spectrum of T in cases (a) and (b) contains respectively large real and
positive numbers.
