A federal grand jury in Tampa, Fla., issued a 14-count indictment yesterday against the Paradyne Corp. of Largo, Fla., and nine individuals on charges of conspiracy to defraud the Social Security Administration and to offer a bribe in connection with $115 million in contracts for computer terminals and software for a nationwide automated data processing system for the agency.

The indictment, announced in Tampa by U.S. Attorney Robert W. Merkle, charges that, during bidding on the initial major portion of the project between Aug. 7, 1980, and March 30, 1981, Paradyne falsely represented that the equipment it was selling had been developed and was already available for delivery as of Aug. 7, 1980.

Instead, according to charges previously raised by the Securities and Exchange Commission, Paradyne used equipment actually built by another manufacturer as part of its bid process, misrepresented the extent to which its system was ready for use, and eventually delivered a problem-ridden system.

The individuals charged yesterday in various counts were John Applegate, former Paradyne vice president; Kenneth Barry, a former Washington-based Social Security official who was convicted of soliciting bribes in January in connection with a contract involving another company; Verney L. Brown, former company senior vice president, and present or former Paradyne officials Frank Dolan, Cletus L. Gardenhour, George B. Pressly, F. William Siegrist, Jorge O. Suarez and Robert S. Wiggins.