It's just so much more complicated than that.
There is an additional huge array of variables like introns[1] and exons[2].
There's also the fact that not all base pairs encode even for genes, there's things like tRNA[3] and ribosomes[4] and the super amazing ribozymes[5].
Even after all that you have specific DNA binding factors[6] that along with the insane machinery[7] of our DNA regulate which base pairs are even exposed or copied into proteins or other cellular products.
Our genetic code is far more complex than just being "genetic codes." And we're still uncovering more layers of complexity and self-reference[8] the closer we are capable of looking.
[1]: https://en.wikipedia.org/wiki/Intron
[2]: https://en.wikipedia.org/wiki/Exon
[3]: https://en.wikipedia.org/wiki/Transfer_RNA
[4]: https://en.wikipedia.org/wiki/Ribosome
[5]: https://en.wikipedia.org/wiki/Ribozyme
[6]: https://en.wikipedia.org/wiki/DNA-binding_protein
[7]: https://en.wikipedia.org/wiki/Regulation_of_gene_expression