Yet another const in strict mode error in Node js

I have tried the solutions in this post

I was not able to try this solution because I do not have sudo privileges on my university server, so I can't use -g.

This is the exact error message:

const WebSocket = require('./lib/WebSocket');
^^^^^
SyntaxError: Use of const in strict mode.
    at Module._compile (module.js:439:25)
    at Object.Module._extensions..js (module.js:474:10)
   ...

I am using node version:

$>node --version
v0.10.29
$>npm --version
3.3.6

And this is the contents of my package.json file:

{
    "name": "vocab-trainer-ui",
    "version": "1.0.0",
    "description": "",
    "main": "app.js",
    "scripts": {
        "test": "echo \"Error: no test specified\" && exit 1"
    },
    "author": "",
    "license": "ISC",
    "dependencies": {
        "underscore": "*",
        "body-parser": "*",
        "request-promise": "*",
        "socket.io": "*",
        "express": "4.x",
        "body-parser": "*",
        "cookie-parser": "*",
        "express-session": "*",
        "pug": "*",
        "bcrypt-nodejs": "*",
        "passport": "*",
        "passport-local": "*",
        "mysql": "*",
        "bookshelf": "0.5",
        "bouncy": "*",
        "uuid": "*",
        "http-proxy": "*",
        "walk": "*",
        "node-http-proxy": "*",
        "fast-levenshtein": "*"
    }
}

Is there anything I can do to fix this issue? Also, I developed the same app locally and I have no issues running it. This error only shows up on my university servers. Thanks

via A.D