An autostable 1-decidable model without a computable Scott family of ∃-formulas

We disprove the assumption that the existence of a computable Scott family of ∃-formulas with a finite tuple of parameters from a 1-decidable model is a necessary condition of its being autostable. Given a family S of general recursive functions, we construct a unar ms and find the family S for which ms is the desired counterexample.