Yes you can fit five conjunction paper tickets in a paper ticket booklet (although you are not supposed to do this), but for electronic tickets this is impossible, ergo the 16 sector hard limit for e-tickets.

Now days, if you had BA sectors there, it would have created a big headache for your ticket issuer.

BA now insists that a separate PNR is set up with its sectors ticketed electronically, separately from the paper ticket. Since you are trying to split your ticket into parts against the fare rules I guess this would have to be done by hand by revenue management!