Laravel5.5 paginateが呼び出せない

以下のクエリの結果をpaginateに入れたいのですが、以下のエラーが出てしまいます。

Call to a member function paginate() on array

Laravel
1$query = DB::select('
2    SELECT *
3FROM (
4       SELECT
5         geo_id,
6         shop_num,
7         ASTEXT(geo),
8         GLENGTH(GEOMFROMTEXT(
9                     CONCAT('LINESTRING(',
10                            経度, , 緯度, ",",
11                            X(geo), , Y(geo),
12                            \')\'
13                     ))
14         ) AS distance
15       FROM geos
16     ) AS dist
17  JOIN shop ON shop.shop_num = dist.shop_num
18  INNER JOIN conditions ON shop.shop_num = conditions.shop_num
19  INNER JOIN categories ON shop.categories_id = categories.categories_id
20  INNER JOIN medicals ON shop.shop_num = medicals.shop_num
21  INNER JOIN companies ON facilities.company_id = fac_companies.company_id
22WHERE
23  distance <= 0.027
24ORDER BY distance DESC ;
25    ');

どの箇所が間違っているのかわからず困っております。

ご教授頂けないでしょうか。

こちらは全体のコードです。

<?php

namespace App\Http\Controllers;

use Illuminate\Support\Facades\Cookie;
use Illuminate\Support\Facades\DB;
use Illuminate\Http\Request;


/**
 * Class FacilityController
 *
 * @package App\Http\Controllers
 */
class SearchGpsController extends Controller {

  

  public function getIndex( Request $request ) {

    $order_by = $request->input( 'order_by', 'updated_at' );

    //-----------------------------------------------------
    // SQL
    //-----------------------------------------------------

    $querys = DB::select('fac_plans')
                ->select(DB::raw(
                  '
      
   '
                ));
    $query = DB::select('
    SELECT *
FROM (
       SELECT
         geo_id,
         shop_num,
         ASTEXT(geo),
         GLENGTH(GEOMFROMTEXT(
                     CONCAT(\'LINESTRING(\',
                            135.506109, \' \', 34.674875, ",",
                            X(geo), \' \', Y(geo),
                            \')\'
                     ))
         ) AS distance
       FROM fac_geos
     ) AS dist
  JOIN shop ON shop.shop_num = dist.shop_num
  INNER JOIN conditions ON shop.shop_num = conditions.shop_num
  INNER JOIN categories ON shop.categories_id = categories.categories_id
  INNER JOIN medicals ON shop.shop_num = medicals.shop_num
  INNER JOIN companies ON shop.company_id = companies.company_id
WHERE
  distance <= 0.027
ORDER BY shop_img DESC,distance DESC ;
    ');


    $sort = 'desc';
    if ( $order_by === 'init_cost_min' ) {
      $sort = 'asc';

    }

    if ( $order_by === 'mth_cost_min' ) {
      $sort = 'asc';
    }

    if ( $order_by === 'created_at' ) {
      $sort = 'desc';
    }


    $result = $query
      ->orderBy( sprintf( 'shop.%s', $order_by ), $sort )
      ->paginate( 10 );



    return view( 'search.index' )
      ->with( 'shop_data', $result );
  }

}