Prime p₀= 2813108477366316317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2813107086218371441	0 22 42 48 52 126 258 286 402 430 562 636 640 646 666 688	-1391147944876
TPT(14)	2813107193812446227	0 2 54 56 90 92 102 104 114 116 132 134 222 224	-1283553870090
SPT(16)	2813107749670510597	0 4 12 40 54 64 120 130 156 166 222 232 246 274 282 286	-727695805720
SPT(16)	2813108135199461237	0 12 14 62 66 90 150 152 264 266 326 350 354 402 404 416	-342166855080
STPT(10)	2813108135464038857	0 2 30 32 42 44 54 56 84 86	-341902277460
TPT(14)	2813108292466709267	0 2 114 116 132 134 252 254 294 296 324 326 330 332	-184899607050
STPT(10)	2813108480930798387	0 2 30 32 42 44 54 56 84 86	3564482070
SPT(16)	2813108731351559141	0 2 42 92 116 128 156 212 216 272 300 312 336 386 426 428	253985242824
STPT(10)	2813108895532225229	0 2 18 20 60 62 102 104 120 122	418165908912
STPT(10)	2813109236107225379	0 2 18 20 60 62 102 104 120 122	758740909062
SPT(16)	2813109523872533761	0 12 30 40 78 82 100 108 142 150 168 172 210 220 238 250	1046506217444