The word insensitively is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 22
Highest Scoring Words With Friends™ Play In The Letters insensitively
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Seven Letter Word Alert: (37 words)
enlists, enliven, enstyle, evilest, eyeslit, ileitis, inlines, instyle, intense, invents, invests, invitee, invites, lenient, lenites, linnets, listens, nestles, netless, seitens, sestine, seventy, silents, snivels, stylise, syenite, sylvine, sylvins, sylvite, tensely, tensile, tieless, tinnily, tinsels, veinlet, vinelet, yeelins