If delete an entry and copy the request as cURL, and repeat it, changing only the time entry ID you can remove your own entires in bulk.

Here's a simple bash script to do exactly that.

#!/bin/bash

START=31052
END=$(($START + 356))

ARGS="-H 'Pragma: no-cache' -H 'Origin: https://app.tempo.io' ..."

for i in `seq $START $END`;
do
    curl "https://app.tempo.io/rest/tempo-timesheets/4/worklogs/$i" -X DELETE $ARGS &
done