  DNA is increasingly employed for bio and nanotechnology thanks to its
exquisite versatility and designability. Most of its use is limited to
linearised and torsionally relaxed DNA but non-trivial architectures and
torsionally constrained -- or supercoiled -- DNA plasmids are largely
neglected; this is partly due to the limited understanding of how supercoiling
affects the rheology of entangled DNA. To address this open question we perform
large scale Molecular Dynamics (MD) simulations of entangled solutions of DNA
plasmids modelled as twistable chains. We discover that, contrarily to what
generally assumed in the literature, larger supercoiling increases the average
size of plasmids in the entangled regime. At the same time, we discover that
this is accompanied by an unexpected increase of diffusivity. We explain our
findings as due to a decrease in inter-plasmids threadings and entanglement
