Here's the script:

```
import requests
import time


def get_latest_block():
    response = requests.get("https://mempool.space/api/blocks/tip/hash")
    response.raise_for_status()
    return response.text


def get_block_tx(block_hash):
    url = f"https://mempool.space/api/v1/block/{block_hash}/summary"
    response = requests.get(url)
    response.raise_for_status()
    return response.json()


def get_block(block_hash):
    url = f"https://mempool.space/api/v1/block/{block_hash}"
    response = requests.get(url)
    response.raise_for_status()
    return [response.json().get("previousblockhash"), response.json().get("timestamp"), response.json().get("height")]


def main(latest_block):
    latest_block = get_latest_block() if not latest_block else latest_block
    block_hash = latest_block
    max_delta = 0
    max_tx = None

    while block_hash:

        summary = get_block_tx(block_hash)
        prev_hash, block_time, height = get_block(block_hash)
        print(f"Checking block: {block_hash} - Height: {height}")
        for tx in summary:
            tx_time = tx.get("time")
            if tx_time:
                delta = block_time - tx_time
                if delta > max_delta:
                    max_delta = delta
                    max_tx = tx
                    print(f"New greatest delta: {max_delta / 86400} days, TXID: {tx['txid']}")

        block_hash = prev_hash
        time.sleep(1)  # Be polite to the API

    if max_tx:
        print(f"Largest time delta found: {max_delta / 86400} days")
        print(f"TXID: {max_tx['txid']}")
    else:
        print("No transactions found.")


if __name__ == "__main__":
    main(None)
```