The first proposal would have made it a felony for doctors to perform abortions at that point unless a woman's life is at risk. It was rejected on procedural grounds after objections were filed.
The latest batch got an initial review at the Capitol on Friday. It includes versions that get rid of criminal penalties for doctors but would suspend their medical licenses and another that would make it a misdemeanor punished only with a fine.
Another previously submitted one keeps the felony penalty.
The campaign's lawyer, Suzanne Staiert, says the ultimate goal is stopping such abortions, not punishing people.