If you take a TAGS file (I used this one: BYOD4L 2016-2017 (@cpjobling)) and sort it in time order, you can then copy column Q (status_url) and paste the data into the HTML view of a WordPress page or Post to get a similar archive to that which @Storify produces.
Unfortunately, there seems to be a limit (on hosted WordPress at least) and only the first N tweets are shown (where N is to be determined). If there are more than N, only the links are shown. Also, retweets will need to be romoved from the data because they are not shown correctly.
(There is a bug in TAGS, the HTTPS protocol has to be used for WordPress to embed a tweet, but Martin records HTTP in the status URLs … A simple fix.)
status_url
https://twitter.com/chrissinerantzi/statuses/819226352347967488 https://twitter.com/chrissinerantzi/statuses/819226352347967488 https://twitter.com/cpjobling/statuses/819288790074327042 https://twitter.com/cpjobling/statuses/819294022271467520 https://twitter.com/cpjobling/statuses/819816739978485760 https://twitter.com/USInternalComms/statuses/819889632745820160 https://twitter.com/neilwithnell/statuses/819889791911202816 https://twitter.com/ASBO_Allstar/statuses/819920530866311168 https://twitter.com/neilwithnell/statuses/819931744422006790 https://twitter.com/cpjobling/statuses/820717926592483328 https://twitter.com/sultec4/statuses/820717971056238593 https://twitter.com/hopkinsdavid/statuses/820724476665090049 https://twitter.com/Oelmann_Richard/statuses/820724880865902594 https://twitter.com/BYOD4L/statuses/820948725736624129 https://twitter.com/WarwickLanguage/statuses/820949388763791360 https://twitter.com/chasing_ling/statuses/820949946237063168 https://twitter.com/Hakimcur/statuses/820950343320276992 https://twitter.com/Chri5rowell/statuses/820965241999806465 https://twitter.com/BYOD4L/statuses/821021612703186948 https://twitter.com/BYOD4L/statuses/821069525529591809 https://twitter.com/GeraldCrittle/statuses/821070691088769024 https://twitter.com/neilwithnell/statuses/821072158491312128 https://twitter.com/chasing_ling/statuses/821077016799825920 https://twitter.com/cpjobling/statuses/821078123903143936 https://twitter.com/cpjobling/statuses/821078432322846721 https://twitter.com/sultec4/statuses/821078568100921344 https://twitter.com/sheilmcn/statuses/821079196806086659 https://twitter.com/sheilmcn/statuses/821080174389317632 https://twitter.com/WarwickLanguage/statuses/821081721969983489 https://twitter.com/sheilmcn/statuses/821082027017588740 https://twitter.com/cpjobling/statuses/821082621795008517 https://twitter.com/BYOD4L/statuses/821082777030455296 https://twitter.com/neilwithnell/statuses/821082888389165056 https://twitter.com/neilwithnell/statuses/821082911122264066 https://twitter.com/cpjobling/statuses/821083525512368130 https://twitter.com/BYOD4L/statuses/821083656345292800 https://twitter.com/sultec4/statuses/821083757247610881 https://twitter.com/WarwickLanguage/statuses/821083860821831680 https://twitter.com/cpjobling/statuses/821084143090073600 https://twitter.com/crumphelen/statuses/821084155228422144 https://twitter.com/BYOD4L/statuses/821084164837543936 https://twitter.com/cpjobling/statuses/821084179945390081 https://twitter.com/WarwickLanguage/statuses/821084214472900610 https://twitter.com/sultec4/statuses/821084246928457728 https://twitter.com/chasing_ling/statuses/821084266582966273 https://twitter.com/BYOD4L/statuses/821084292214300673 https://twitter.com/neilwithnell/statuses/821084296354086914 https://twitter.com/cpjobling/statuses/821084312934215687 https://twitter.com/sultec4/statuses/821084367766355969 https://twitter.com/neilwithnell/statuses/821084447038722053 https://twitter.com/BYOD4L/statuses/821084464667303940 https://twitter.com/sultec4/statuses/821084553523642368 https://twitter.com/neilwithnell/statuses/821084559286661120 https://twitter.com/alexgspiers/statuses/821084587459805184 https://twitter.com/cpjobling/statuses/821084674344845313