Prime p₀= 2014311102613966337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Dingo
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2014310048600109839	0 20 38 50 60 78 108 120 122 134 164 182 192 204 222 242	-1054013856498
STPT(10)	2014310127411881939	0 2 12 14 90 92 168 170 180 182	-975202084398
STPT(10)	2014310229946392317	0 2 30 32 60 62 90 92 120 122	-872667574020
STPT(10)	2014310902597139087	0 2 30 32 42 44 54 56 84 86	-200016827250
SPT(16)	2014311070026637961	0 50 56 66 80 96 120 132 140 152 176 192 206 216 222 272	-32587328376
SPT(16)	2014311101333866217	0 44 50 102 126 134 164 212 234 282 312 320 344 396 402 446	-1280100120
STPT(10)	2014311168807680177	0 2 30 32 42 44 54 56 84 86	66193713840
STPT(10)	2014311276957179741	0 2 30 32 78 80 126 128 156 158	174343213404
STPT(10)	2014311303817380851	0 2 6 8 48 50 90 92 96 98	201203414514
SPT(16)	2014311815239237627	0 36 42 66 94 102 120 130 246 256 274 282 310 334 340 376	712625271290
SPT(16)	2014312767101990833	0 58 64 90 148 150 154 178 210 234 238 240 298 324 330 388	1664488024496