  We introduce a forcing technique to construct three-dimensional arrays of
generic extensions through FS (finite support) iterations of ccc posets, which
we refer to as 3D-coherent systems. We use them to produce models of new
constellations in Cicho\'n's diagram, in particular, a model where the diagram
can be separated into 7 different values. Furthermore, we show that this
constellation of 7 values is consistent with the existence of a $\Delta^1_3$
well-order of the reals.
