Prime p₀= 2097564638455173887 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: Orange Kid
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2097563973469419647	0 30 56 66 90 96 140 150 212 222 266 272 296 306 332 362	-664985754240
STPT(10)	2097564032720837279	0 2 18 20 30 32 42 44 60 62	-605734336608
SPT(16)	2097564134269739393	0 38 68 90 110 140 180 230 234 284 324 354 374 396 426 464	-504185434494
STPT(10)	2097564294555402809	0 2 42 44 90 92 138 140 180 182	-343899771078
SPT(16)	2097564362164350419	0 8 44 48 54 60 98 104 168 174 212 218 224 228 264 272	-276290823468
STPT(10)	2097564393920297999	0 2 12 14 90 92 168 170 180 182	-244534875888
TPT(16)	2097565096501364339	0 2 12 14 42 44 48 50 78 80 90 92 120 122 132 134	458046190452
STPT(12)	2097565096501364339	0 2 12 14 42 44 48 50 78 80 90 92	458046190452
SPT(16)	2097565190169223583	0 8 14 56 78 116 146 168 176 198 228 266 288 330 336 344	551714049696
TPT(14)	2097565329042439799	0 2 12 14 48 50 72 74 90 92 102 104 228 230	690587265912
SPT(16)	2097565599453453211	0 12 46 60 76 82 102 172 216 286 306 312 328 342 376 388	960998279324