I'm trying to recreate the attached image below inside of a custom html field on my website using HTML code only
Where exactly are you trying to add the image? (Product page, home page, etc.)
First you need to upload the image to Shopify in Settings -> Files
and copy the url. Then add the url to the image tag <img src="your-image-url.png" alt="">
and finally place that line of code in your template file.
Something else you can do if you are familiar with Sketch/Adobe software, is create the image in one of those programs and export the SVG code. Then use that code in your template file.