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The $S$-wave eigenstates of tetraquarks of type $s u \bar d \bar b$ withJ$^{P}$ = 0$^{+}$, 1$^{+}$ and 2$^{+}$ are studied within a simple quark modelwith chromomagnetic interaction and effective quark masses extracted from mesonand baryon spectra. It is tempting to see if this spectrum can accommodate thenew narrow structure X(5568), observed by the D\O~~Collaboration, but notconfirmed by the LHCb Collaboration. If it exists, such a tetraquark is asystem with four different flavors and its study can improve our understandingof multiquark systems. The presently calculated mass of X(5568) agrees quitewell with the experimental value of he D\O~~Collaboration. Predictions are madefor the spectrum of the charmed partner $s u \bar d \bar c$. However we areaware of the difficulty of extracting effective quark masses, from mesons andbaryons, to be used in multiquark systems.

X(5568) as a $s u \bar d \bar b$ tetraquark in a simple quark model