  We study the integrability and the Bethe/Gauge correspondence of the
Generalized Calogero-Moser system proposed by Berntson, Langmann and Lenells
which we call the elliptic quadruple Calogero-Moser system (eqCM). We write
down the Dunkl operators which give commuting Hamiltonians of the quantum
integrable system. We identify the gauge theory in correspondence is a
supergroup version of the gauge origami, from which we construct the transfer
matrix of the eqCM system.
