Prime p₀= 2014112602009916867 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: Chooka
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2014111641958306711	0 18 28 42 58 72 88 130 228 270 286 300 316 330 340 358	-960051610156
STPT(10)	2014111669607824559	0 2 12 14 90 92 168 170 180 182	-932402092308
SPT(16)	2014112073042552607	0 10 12 40 60 76 82 124 132 174 180 196 216 244 246 256	-528967364260
SPT(16)	2014112146995777743	0 24 26 36 50 74 150 186 224 260 336 360 374 384 386 410	-455014139124
SPT(16)	2014112282864866003	0 66 70 94 96 154 156 238 276 358 360 418 420 444 448 514	-319145050864
SPT(16)	2014112310890064703	0 6 10 28 36 54 76 126 148 198 220 238 246 264 268 274	-291119852164
SPT(16)	2014112721216268649	0 54 60 98 140 144 158 228 260 330 344 348 390 428 434 488	119206351782
SPT(16)	2014112761943338481	0 32 66 68 132 150 216 222 236 242 308 326 390 392 426 458	159933421614
SPT(16)	2014113486849434897	0 6 42 86 104 174 216 240 416 440 482 552 570 614 650 656	884839518030
STPT(10)	2014113737767791617	0 2 24 26 42 44 60 62 84 86	1135757874750
STPT(10)	2014113915951121667	0 2 42 44 72 74 102 104 144 146	1313941204800