with more colors, random rules tend towards chaotic soup, but:

https://beadingwithalgorithms.org/?rule=[2100120313023001010220221313220021312301201010123321222022130011]&colors=4&columns=90&rows=200&seed=random&style=bead&colorset=12&colormod=4&layout=pattern

#BeadingWithAlgorithms

the "even parity" rule too though it's visually shaggier
#BeadingWithAlgorithms

https://beadingwithalgorithms.org/?rule=[01101001]&colors=2&columns=60&rows=120&seed=random&style=bead&colorset=7