1995 || Kitt Peak || Spacewatch || — || align=right | 5.1 km || |-id=356 bgcolor=#E9E9E9 | 7356 Casagrande || || || September 27, 1995 || Stroncone || Santa Lucia Obs. || EUN || align=right | 4.6 km || |-id=357 bgcolor=#fefefe | 7357 || || — || October 27, 1995 || Kushiro || S. Ueda, H. Kaneda || FLO || align=right | 4.0 km || |-id=358 bgcolor=#FFC2E0 | 7358 Oze || || || December 27, 1995 || Oizumi || T. Kobayashi || AMO +1km || align=right | 4.1 km || |-id=359 bgcolor=#d6d6d6 | 7359 Messier || 1996 BH || || January 16, 1996 || Kleť || M. Tichý || — || align=right | 12 km || |-id=360 bgcolor=#fefefe | 7360 Moberg || || || January 30, 1996 || La Silla || C.-I. Lagerkvist || FLO || align=right | 6.0 km || |-id=361 bgcolor=#E9E9E9 | 7361 Endres || || || February 16, 1996 || Haleakalā || NEAT || — || align=right | 5.2 km || |-id=362 bgcolor=#fefefe | 7362 Rogerbyrd || 1996 EY || || March 15, 1996 || Haleakalā || NEAT || NYS || align=right | 3.5 km || |-id=363 bgcolor=#E9E9E9 | 7363 Esquibel || || || March 18, 1996 || Haleakalā || NEAT || GEF || align=right | 8.3 km || |-id=364 bgcolor=#fefefe | 7364 Otonkučera || 1996 KS || || May 22, 1996 || Višnjan Observatory || K. Korlević || — || align=right | 1.9 km || |-id=365 bgcolor=#fefefe | 7365 Sejong || || || August 18, 1996 || JCPM Sapporo || K. Watanabe || — || align=right | 5.5 km || |-id=366 bgcolor=#d6d6d6 | 7366 Agata || 1996 UY || || October 20, 1996 || Oizumi || T. Kobayashi || HYG || align=right | 24 km || |-id=367 bgcolor=#d6d6d6 | 7367 Giotto || 3077 T-1 || || March 26, 1971 || Palomar || PLS || THM || align=right | 7.8 km || |-id=368 bgcolor=#fefefe | 7368 Haldancohn || 1966 BB || || January 20, 1966 || Brooklyn || Indiana University || — || align=right | 4.5 km || |-id=369 bgcolor=#FA8072 | 7369 Gavrilin || 1975 AN || || January 13, 1975 || Nauchnij || T. M. Smirnova || PHOmoon || align=right | 4.9 km || |-id=370 bgcolor=#E9E9E9 | 7370 Krasnogolovets || || || September 27, 1978 || Nauchnij || L. I. Chernykh || — || align=right | 7.7 km || |-id=371 bgcolor=#d6d6d6 | 7371 El-Baz || ||