Попробуйте следующим образом.
@foreach($apartments as $apartment)
<tr>
<input type="hidden" name="data[{{$apartment->id}}]['id']" value="{{$apartment->id}}" id="checkApt" />
<td><input type="checkbox" name="data[{{$apartment->id}}]['apt']" value="{{$apartment->id}}"id="checkApt"></td>
<td><input type="text" name="data[{{$apartment->id}}]['street']" value="{{ $apartment->street }}" id="checkApt"></td>
<td><input type="text" name="data[{{$apartment->id}}]['aptnumber']" value="{{ $apartment->apartment_number }}" id="checkApt"> </td>
<td><input type="text" name="data[{{$apartment->id}}]['price']" value="{{ number_format($apartment->price, 2) }}"id="checkApt"></td>
<td><input type="text" name="data[{{$apartment->id}}]['bedrooms']" value="{{$apartment->bedrooms}}" id="checkApt"></td>
<td><input type="text" name="data[{{$apartment->id}}]['bathrooms']" value="{{$apartment->bathrooms}}"id="checkApt"></td>
<td><input type="text" name="data[{{$apartment->id}}]['date']" value="{{ date('M d, Y', strtotime($apartment->created_at))}}"id="checkApt"></td>
<td><input type="text" name="data[{{$apartment->id}}]['area']" value="{{ $apartment->neighborhood->neighborhood ?? '' }}"id="checkApt"></td>
</tr>
@endforeach
и в контроллере получите как оно $request->data
foreach($request->data as $val){
echo 'id '.$val['id'];
echo 'apt '.$val['apt'];
echo 'street '.$val['street'];
echo 'aptnumber '.$val['aptnumber'];
echo 'price '.$val['price'];
echo 'bedrooms '.$val['bedrooms'];
echo 'bathrooms '.$val['bathrooms'];
echo 'date '.$val['date'];
echo 'area '.$val['area'];
}