I think you can supercharge this build by completely dumping INT and instead using Charisma in anticipation of an eventual Sorcerer multiclass.
Starting stats 15+2 STR, 14 CON, 15+1 CHA.
Start with the Mark of the Storm origin feat (Charisma spellcasting mod), take Potent Dragonmark at 4 (+1 CHA), Great Weapon Master at 6, another +STR feat at 8 (Mage Slayer, Heavy Armor Master, Polearm Master).
We've dumped INT, so take spells that don't require any - it's still super strong.
Blade Ward,
Jump,
Shield,
Find Familiar,
Protection from Evil and Good,
Mirror Image,
Misty Step,
Elminster’s Elusion,
Absorb Elements and
Alter Self are all good choices. If
Silvery Barbs or
Gift of Alacrity are available, take those. Take
Booming Blade and
Green-Flame Blade cantrips. Stay Eldritch Knight until you're level 8. Any heavy weapons will work - I like polearms, ideally ones with Cleave and/or Topple.
Conjure Minor Elementals via Potent Dragonmark comes online at level 7, recharging on a Short Rest. Pre-cast it before battle if you can, if you can't, Action Surge to cast it and attack on Round 1.
Beginning level 9, multiclass into Sorcerer, take 3 levels until we get our subclass. The reason we're going Sorcerer is Quickened and Extended metamagics, each of which allows us to have CME up first round of combat (either Quickened as a bonus action or precast up to 20 minutes before the fight). If we can't pre-cast CME, then our first turn in combat is Quickened CME, Attack Action (replace one attack with Booming Blade/GFB), possible Cleave attack, Action Surge, Attack Action (replace one attack with Booming Blade/GFB). That's 4 or 5 weapon attacks (Cleave procs CME), each of which adds a 3d8 rider. If you CAN pre-cast CME, you can instead Quicken a Bonus Action Scorching Ray in your highest available slot - each ray will add a separate 3d8 rider too.
Now we return to EK until we get 3 attacks at EK 11 (6 with Action Surge, all of which proc new CME riders). Eldritch Strike means that we can Quicken control spells like upcast Command on enemies we've hit, who save with disadvantage while we continue to take our full attack action. Finish out with more Sorcerer levels, ending at a 11 EK/9 Sorc split.
Here's a full writeup of the build I did on another site. TLDR, Conjure Minor Elementals via Potent Dragonmark is completely overtuned, and this build takes full advantage by using Sorcerer levels to Quicken spells while retaining a 3-attack Fighter attack action. Other than the blade cantrips we don't even need any 2014 material. You also get to be a party face if you want - I went Human with Magic Initiative: Cleric for Guidance and Thaumaturgy, which combines with Tactical Mind to make an incredible Intimidation specialist.