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lex order is typically slow when it comes to Groebner basis computation. Changing order = 'lex(11),lex(5)' to order = 'degrevlex(11),degrevlex(5)' makes your code complete within a few seconds.

PS. Perhaps, in Macaulay2 computation you also used some graded order, but if it were lexicographic one, it'd helpful to see the actual code.