You can add an image to your message using the parameter media_url.

# Download the twilio-python library from http://twilio.com/docs/libraries
from twilio.rest import TwilioRestClient
 
# Find these values at https://twilio.com/user/account
account_sid = "ACXXXXXXXXXXXXXXXXX"
auth_token = "YYYYYYYYYYYYYYYYYY"
client = TwilioRestClient(account_sid, auth_token)    
message = client.messages.create(
    to="+12316851234",
    from_="TWILIO_NUMBER",
    body="Hello there, StackOverflow!",
    media_url=[
        'https://demo.twilio.com/owl.png',
        'https://demo.twilio.com/logo.png']) 

To send your first SMS with Twilio and Python you'll just need the Twilio-Python helper library to get started.

# Download the twilio-python library from http://twilio.com/docs/libraries
from twilio.rest import TwilioRestClient
 
# Find these values at https://twilio.com/user/account
account_sid = "ACXXXXXXXXXXXXXXXXX"
auth_token = "YYYYYYYYYYYYYYYYYY"
client = TwilioRestClient(account_sid, auth_token)
 
message = client.messages.create(to="+12316851234", from_="TWILIO_NUMBER",
                                 body="Hello there, StackOverflow!") 

Twilio help build apps that communicate with everyone in the world. Voice & Video, Messaging and Authentication APIs for every application.

You can get an API key for free.

To send a message through Twilio, your application needs to make an HTTP POST request to Twilio with the following things:

1. The phone number you want to send the message to.
2. Twilio number from which you’re attempting to send the message. (Only Twilio message-enabled phone numbers will work)
3. The body of the message.

---

To send an SMS, make an HTTP POST request to the Messages resource.

    POST https://api.twilio.com/20xx-xx-xx/Accounts/xxxxxxx/Messages

Below is an example code to show how sending messeges with Twilio API will work.

# Download the twilio-python library from http://twilio.com/docs/libraries
from twilio.rest import TwilioRestClient

# Find these values at https://twilio.com/user/account
account_sid = "ACXXXXXXXXXXXXXXXXX"
auth_token  = "YYYYYYYYYYYYYYYYYY"
client      = TwilioRestClient(account_sid, auth_token)

message = client.messages.create(
    to    = "+12316851234",
    from_ = "+15555555555",
    body  = "Hello there!"
)

If the Twilio number supports MMS, then you can send and receive MMS also.

Below is code to send MMS through Twilio API.

message = client.messages.create(
    to    = "+12316851234",
    from_ = "+15555555555",
    body  = "Hello there!",
    media_url=[
        'https://demo.twilio.com/owl.png',
        'https://demo.twilio.com/logo.png'
    ])