Some good champs in that roster, for spider 14 you'd think that should be possible... Sethallia, Deacon, Kael, Zelotah and Soulbond Bowyer, or so? That has offense, some healing/support, some TM control. Giscard, Apothecary, High Khatun are very viable options as well. 

Spider 14 is magic affinity. A lot of the good champs, including Armiger and Soulbond for turnmeter, will have problems to land their debuffs.

At lvl 14 the Spiderlings don't have that much life. Maybe Kael and Dark Elhain (at least lvl 50) can kill all small Spiderlings with their AoE attacks. If you do the fight manually and attack right before the big Spider gets her turn, you can prevent the healing.

Team maybe that one:

• Deacon as leader for his Aura. His turnmeter skill doesn't hit and therefore doesn't get weak hits and will work. Needs tons of def, as he will be chosen as target for his weak affinity
• Sethalia (heal, debuff blocking)
• Warmaiden (def debuff)
• Kael (AoE damage)
• Dark Elhain (AoE damage)