E. W. Elst || — || align=right | 3.5 km || |-id=336 bgcolor=#E9E9E9 | 11336 Piranesi || || || July 14, 1996 || La Silla || E. W. Elst || — || align=right | 3.4 km || |-id=337 bgcolor=#fefefe | 11337 Sandro || || || August 10, 1996 || Montelupo || M. Tombelli, G. Forti || FLO || align=right | 1.9 km || |-id=338 bgcolor=#fefefe | 11338 Schiele || || || October 13, 1996 || Kleť || J. Tichá, M. Tichý || — || align=right | 6.2 km || |-id=339 bgcolor=#fefefe | 11339 Orlík || || || November 13, 1996 || Kleť || M. Tichý, Z. Moravec || — || align=right | 4.0 km || |-id=340 bgcolor=#d6d6d6 | 11340 || || — || November 14, 1996 || Oohira || T. Urata || — || align=right | 11 km || |-id=341 bgcolor=#fefefe | 11341 Babbage || || || December 3, 1996 || Prescott || P. G. Comba || V || align=right | 4.4 km || |-id=342 bgcolor=#E9E9E9 | 11342 || || — || December 8, 1996 || Ōizumi || T. Kobayashi || — || align=right | 5.8 km || |-id=343 bgcolor=#fefefe | 11343 || || — || December 8, 1996 || Ōizumi || T. Kobayashi || — || align=right | 2.8 km || |-id=344 bgcolor=#fefefe | 11344 || || — || December 14, 1996 || Ōizumi || T. Kobayashi || NYS || align=right | 2.9 km || |-id=345 bgcolor=#fefefe | 11345 || 1996 YM || — || December 20, 1996 || Ōizumi || T. Kobayashi || NYS || align=right | 2.8 km || |-id=346 bgcolor=#E9E9E9 | 11346 || || — || January 10, 1997 || Ōizumi || T. Kobayashi || — || align=right | 6.7 km || |-id=347 bgcolor=#fefefe | 11347 || || — || January 9, 1997 || Kushiro || S. Ueda, H. Kaneda || — || align=right | 5.3 km || |-id=348 bgcolor=#d6d6d6 | 11348 Allegra || || || January 30, 1997 || Cima Ekar || M. Tombelli, U. Munari || KOR || align=right | 6.2 km || |-id=349 bgcolor=#fefefe | 11349 Witten || || || May 3, 1997 || La Silla || E. W. Elst || V || align=right | 2.9 km || |-id=350 bgcolor=#d6d6d6 | 11350 Teresa || || || August 29, 1997 || Majorca || Á. López J., R. Pacheco || KOR || align=right | 5.8 km || |-id=351 bgcolor=#C2FFFF | 11351 Leucus || || ||