  Earlier we have proposed new $q$ - Maxwell equations which are the first
members of an infinite new hierarchy of $q$ - difference equations. We have
used an indexless formulation in which all indices are traded for two conjugate
variables, $z,\bar z$. Weproposed also new $q$ - Minkowski coordinates which
together with $z,\bar z$ can be interpreted as the six local coordinates of a
$SU_q(2,2)$ flag manifold. In the present paper we generalise the main
ingredients of this construction to the multiparameter case using the
seven-parameter quantum group deformation of $GL(4)$ and $U(gl(4))$ and the
four-parameter quantum group deformation of $SL(4)$ and $U(sl(4))$. The main
result is the explicit presentation of the multiparameter quantum Minkowski
space-time within the corresponding deformed flag manifold.
