  We construct a 1-parameter family $F_t=(J, H_t)_{0 \leq t \leq 1}$ of
integrable systems on a compact $4$-dimensional symplectic manifold $(M,
\omega)$ that changes smoothly from a toric system $F_0$ with eight
elliptic-elliptic singular points via toric type systems to a semitoric system
$F_t$ for $ t^- < t < t^+$. These semitoric systems $F_t$ have precisely four
elliptic-elliptic and four focus-focus singular points. Moreover, at $t=
\frac{1}{2}$, the system has precisely two focus-focus fibres each of which
contains exactly two focus-focus points, giving these fibres the shape of
double pinched tori. We exemplarily parametrise one of these fibres explicitly.
