As a team the Tigers finished the day six strokes under par with a 282 round, 18 shots better than on Friday. Georgia, which shot a 285 on Saturday, is in second at 586, four shots behind the Tigers.
Auburn is the defending SEC champ and is shooting for its sixth SEC women's golf team championship.
Tennessee shot a 287 and is in third at 588. Vanderbilt is fourth at 590, Florida is fifth at 599, Arkansas is at 601, LSU at 602, Alabama and South Carolina are tied at 603, Mississippi State is at 622, Kentucky shot 625 and Ole Miss is last at 633.
Auburn's Margaret Shirley shot a 69 on Saturday and is in fourth place at 146, five shots behind Martinez. Shirley had birdies on the final four holes giving her seven for the round.
AU's Jessica Lovell shot a 71 and is three-over-par at 147. Nicole Hage finished with a 74 and is at 152. AU didn't have to count a 78 from Abigale Schepperle, who is tied for 30th at eight-over-par.
Playing at the Ironhorse Course at the Vanderbilt Legends Club, Auburn's 282 was the four lowest round in SEC Women's Golf Tournament history. It was the second lowest round for the Tigers at the SEC Championship.
"I was really pleased with our effort today, especially on the last four holes," Auburn coach Kim Evans said. "Everyone stepped up at different times for us, but our work has just begun. We will work tonight on getting as fresh as we can for tomorrow and see what happens from there."