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We prove that an almost $$2$$2-perfect $$6$$6-cycle system of order $$n$$n exists if and only if $$n \\equiv 1$$n¿1 or $$9\\ (mod\\ 12)$$9(mod12), and that an almost $$2$$2-perfect maximum packing with $$6$$6-cycles of order $$n$$n exists for all $$n \\ge 6$$n¿6.

Almost $$2$$ 2 -perfect $$6$$ 6 -cycle systems