  In this work we report on observations with the Neutron Star Interior
Composition Explorer of the known neutron star X-ray transient XTE J1739-285.
We observed the source in 2020 February and March, finding it in a highly
active bursting state. Across a 20-day period, we detected 32 thermonuclear
X-ray bursts, with an average burst recurrence time of $2.0^{+0.4}_{-0.3}$ hr.
A timing and spectral analysis of the ensemble of X-ray bursts reveals
homogeneous burst properties, evidence for short-recurrence time bursts, and
the detection of a 386.5 Hz burst oscillation candidate. The latter is
especially notable, given that a previous study of this source claimed a 1122
Hz burst oscillation candidate. We did not find any evidence of variability
near 1122 Hz, and instead find that the 386.5 Hz oscillation is the more
prominent signal of the two burst oscillation candidates. Hence, we conclude it
is unlikely that XTE J1739-285 has a sub-millisecond rotation period.
