Prime p₀= 2713680823930998587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Roadranner
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2713679273415279979	0 10 24 28 84 90 94 108 130 144 148 154 210 214 228 238	-1550515718608
STPT(10)	2713679644763522117	0 2 42 44 72 74 102 104 144 146	-1179167476470
TPT(14)	2713679871932897447	0 2 30 32 72 74 192 194 222 224 282 284 312 314	-951998101140
TPT(14)	2713680066513635039	0 2 18 20 120 122 168 170 210 212 270 272 300 302	-757417363548
STPT(10)	2713680215037053699	0 2 48 50 90 92 132 134 180 182	-608893944888
SPT(16)	2713680551944383011	0 6 56 78 96 110 116 146 210 240 246 260 278 300 350 356	-271986615576
SPT(16)	2713680953795396257	0 66 82 100 112 124 136 154 192 210 222 234 246 264 280 346	129864397670
SPT(16)	2713681117962180001	0 60 96 142 186 250 268 298 360 390 408 472 516 562 598 658	294031181414
STPT(10)	2713681688895684779	0 2 18 20 30 32 42 44 60 62	864964686192
STPT(10)	2713682216131426229	0 2 18 20 30 32 42 44 60 62	1392200427642
SPT(16)	2713682448382054321	0 18 22 28 30 42 90 106 222 238 286 298 300 306 310 328	1624451055734