Prime p₀= 2328307457615076167 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2328306879040227427	0 42 84 112 124 144 192 216 220 244 292 312 324 352 394 436	-578574848740
SPT(16)	2328306915844873277	0 62 72 80 110 140 144 146 150 152 156 186 216 224 234 296	-541770202890
STPT(10)	2328307006734327761	0 2 6 8 18 20 30 32 36 38	-450880748406
SPT(16)	2328307129318361791	0 18 42 160 162 178 210 220 228 238 270 286 288 406 430 448	-328296714376
STPT(10)	2328307342527022817	0 2 42 44 102 104 162 164 204 206	-115088053350
TPT(14)	2328307457615075771	0 2 246 248 396 398 420 422 438 440 456 458 480 482	-396
STPT(10)	2328307532370917219	0 2 12 14 90 92 168 170 180 182	74755841052
SPT(16)	2328307704721540097	0 6 44 80 86 90 114 140 156 182 206 210 216 252 290 296	247106463930
SPT(16)	2328307935092096579	0 12 20 30 44 68 74 90 152 168 174 198 212 222 230 242	477477020412
STPT(10)	2328308834525445377	0 2 12 14 72 74 132 134 144 146	1376910369210
STPT(10)	2328308899590417587	0 2 30 32 42 44 54 56 84 86	1441975341420