  We consider suspension flows with continuous roof function over the full
shift $\Sigma$ on a finite alphabet. For any positive entropy subshift of
finite type $Y \subset \Sigma$, we explictly construct a roof function such
that the measure(s) of maximal entropy for the suspension flow over $\Sigma$
are exactly the lifts of the measure(s) of maximal entropy for $Y$. In the case
when $Y$ is transitive, this gives a unique measure of maximal entropy for the
flow which is not fully supported. If $Y$ has more than one transitive
component, all with the same entropy, this gives explicit examples of
suspension flows over the full shift with multiple measures of maximal entropy.
This contrasts with the case of a H\"older continuous roof function where it is
well known the measure of maximal entropy is unique and fully supported.
