The state government said officials found the grave on a ranch outside Tres Valles, a town in the southern half of the Gulf Coast state. It said investigators were still excavating the grave, but did not release any details. A local newspaper reported that marines found the bodies after spotting vultures on a dirt road.
The area was being guarded Wednesday by federal and state police forces, while people with missing relatives or friends began to arrive at the offices of state authorities in Tres Valles to see if their loved ones were among the victims. Investigators were looking for more bodies on the ranch known as El Diamante.
On Monday, authorities found seven bodies in a grave in the nearby town of Cosamaloapan. Authorities said the victims were all members of one family from Tres Valles.
Veracruz has suffered years of fighting between the Zetas drug cartel and its rivals. It is also crossed by tens of thousands of Central Americans migrants heading toward the U.S. each year.
Officials have discovered a series of mass graves around Mexico in recent years, several filled with the bodies of migrants slain by the gangs that control profitable migrant-smuggling routes.
One of the largest single mass graves found in Mexico in recent years was discovered in 2010 in Tamaulipas state. It contained the bodies of 72 migrants, whom authorities said were slain by Zetas members angry that the victims declined to work for the criminal organization.