The number of individuals that tested all 111 STR values is fairly small (N=66). Still, I think that some clades are clearly visible, even without using any SNP information.
The nomenclature at FTDNA is based on ISOGG 2011, however, not exactly, e.g. L453, L454 are not labeled as T1 only, not as T1a:
T L206, L445, L452, L455, M184/Page34/USP9Y+3178, M193, M272, Page129
• T* -
• T1 M70/Page46, Page78
• • T1* -
• • T1a L162/Page21, L299, L453, L454
• • • T1a* -
• • • T1a1 L208/Page2
• • • • T1a1* -
• • • • T1a1a M320
• • • • T1a1b P77
• • • • T1a1c P330
• • • • T1a1d P321
• • • • • T1a1d* -
• • • • • T1a1d1 P317
• • T1b L131
• • • T1b* -
• • • T1b1 P322, P328
• • • • T1b1* -
• • • • T1b1a P327
Rectangular STR111 tree of haplogroup T (pdf version):
Polar STR111 tree of haplogroup T (pdf version):