|| || || May 1, 1998 || Anderson Mesa || LONEOS || — || align=right | 3.6 km || |-id=361 bgcolor=#E9E9E9 | 20361 Romanishin || || || May 1, 1998 || Anderson Mesa || LONEOS || EUN || align=right | 3.6 km || |-id=362 bgcolor=#E9E9E9 | 20362 Trilling || || || May 1, 1998 || Anderson Mesa || LONEOS || — || align=right | 5.8 km || |-id=363 bgcolor=#E9E9E9 | 20363 Komitov || || || May 18, 1998 || Anderson Mesa || LONEOS || — || align=right | 8.4 km || |-id=364 bgcolor=#d6d6d6 | 20364 Zdeněkmiler || || || May 20, 1998 || Kleť || M. Tichý, Z. Moravec || KOR || align=right | 9.1 km || |-id=365 bgcolor=#d6d6d6 | 20365 || || — || May 24, 1998 || Woomera || F. B. Zoltowski || EOS || align=right | 8.9 km || |-id=366 bgcolor=#E9E9E9 | 20366 Bonev || || || May 23, 1998 || Anderson Mesa || LONEOS || — || align=right | 5.8 km || |-id=367 bgcolor=#E9E9E9 | 20367 Erikagibb || || || May 23, 1998 || Anderson Mesa || LONEOS || DOR || align=right | 9.6 km || |-id=368 bgcolor=#E9E9E9 | 20368 || || — || May 27, 1998 || Lake Clear || K. A. Williams || — || align=right | 7.4 km || |-id=369 bgcolor=#E9E9E9 | 20369 || || — || May 22, 1998 || Socorro || LINEAR || WAT || align=right | 11 km || |-id=370 bgcolor=#E9E9E9 | 20370 || || — || May 22, 1998 || Socorro || LINEAR || PAD || align=right | 7.7 km || |-id=371 bgcolor=#E9E9E9 | 20371 Ekladyous || || || May 22, 1998 || Socorro || LINEAR || slow || align=right | 7.9 km || |-id=372 bgcolor=#fefefe | 20372 Juliafanning || || || May 22, 1998 || Socorro || LINEAR || — || align=right | 3.2 km || |-id=373 bgcolor=#E9E9E9 | 20373 Fullmer || || || May 22, 1998 || Socorro || LINEAR || — || align=right | 4.5 km || |-id=374 bgcolor=#d6d6d6 | 20374 || || — || May 22, 1998 || Socorro || LINEAR || — || align=right | 6.3 km || |-id=375 bgcolor=#E9E9E9 | 20375 Sherrigerten || || || May 22, 1998 || Socorro || LINEAR || — || align=right | 7.7 km || |-id=376 bgcolor=#fefefe | 20376 Joyhines || || || May 22, 1998 || Socorro || LINEAR || MAS || align=right | 2.6 km ||