Data embedding into DNA is a conventional encryption technology since it gives the system security and consumes less energy. This work proposes a model that uses the silent mutation method to apply data embedding into DNA within an encryption model. To produce the key, hash functions are applied first to the original image and its metadata followed by the Arnold Transform technique. The key is then sent to LLCS, which uses it to produce a series of coding rules, and transmitted to HCS, which uses it to generate three chaotic sequences. Five chaotic maps are then used to diffuse the output image of the Arnold Transform. DNA operations are applied to the final image using the chaotic HCS sequences followed by the coding rules sequence. After the image has been decoded and silently mutated into a gene sequence, the altered gene is then obtained. Seven evaluation measures are used on ten grayscale images incorporated with two DNA sequences to assess the proposed model's performance. Results indicate a positive improvement in performance as a result of the model's increased security.