You can store them as
insert into adm_trace_para (sp_name,parameters) values (test_store_procedure,'@Start_dt='+@Start_dt+':@End_dt='+@End_dt+':@Show_Renewed='+@Show_Renewed+':@Show_NonRenewable='+@Show_NonRenewable+':@Show_Claims='+@Show_Claims+':@Error_Code='+@Error_Code)