Prime p₀= 2523114382200539357 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)	2523112293202722031	0 28 42 130 166 172 178 222 226 270 276 282 318 406 420 448	-2088997817326
STPT(10)	2523112850616538889	0 2 42 44 60 62 78 80 120 122	-1531584000468
STPT(10)	2523112952537820491	0 2 30 32 60 62 90 92 120 122	-1429662718866
SPT(16)	2523113765759509301	0 12 32 60 78 86 108 120 158 170 192 200 218 246 266 278	-616441030056
SPT(16)	2523114067760445323	0 20 38 80 120 146 150 168 176 194 198 224 264 306 324 344	-314440094034
SPT(16)	2523114328695537553	0 4 64 84 186 190 226 256 264 294 330 334 436 456 516 520	-53505001804
SPT(16)	2523114500352686599	0 10 58 118 130 142 168 172 240 244 270 282 294 354 402 412	118152147242
TPT(14)	2523114612317038631	0 2 6 8 48 50 78 80 90 92 126 128 138 140	230116499274
STPT(10)	2523114841931028617	0 2 30 32 42 44 54 56 84 86	459730489260
SPT(16)	2523115028111969663	0 26 36 38 170 198 254 276 338 360 416 444 576 578 588 614	645911430306
STPT(10)	2523115151501128739	0 2 42 44 60 62 78 80 120 122	769300589382