The givens: straight threading on 40 shafts, with a wide stripe on 24 of the shafts and a narrow stripe on the remaining 16.
Here's the 24-shaft granite:
…and the 16-shaft granite:
These do have strong twill lines in them, but they're not true twills.
Here's the preliminary liftplan with the two weaves plugged in:
I wrapped it so that the warp-dominant stripe falls in the center of the repeat:
Pasted into pixeLoom, a float check reveals one instance where an overly long float occurs at the juncture of the two weave structures. I've circled it in the following draft.
Here's the corrected draft. Maximum float length is now 4. Interesting to note that I've had to extend the liftplan to a length of 48 picks to accomodate both the 24-shaft repeat and the 16-shaft repeat of the two weave structures.
And now since you've stayed with me this far here is your reward: the stripes on the loom!