Prime p₀= 2097852708134260697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2097852229479262507	0 34 76 96 130 144 150 160 186 196 202 216 250 270 312 346	-478654998190
SPT(16)	2097852279871192319	0 2 30 80 122 164 182 230 294 342 360 402 444 494 522 524	-428263068378
STPT(10)	2097852281019908597	0 2 30 32 60 62 90 92 120 122	-427114352100
SPT(16)	2097852295710622631	0 42 56 92 116 140 246 252 266 272 378 402 426 462 476 518	-412423638066
SPT(16)	2097852607706938063	0 16 18 60 114 144 178 186 268 276 310 340 394 436 438 454	-100427322634
STPT(10)	2097852641216701709	0 2 18 20 30 32 42 44 60 62	-66917558988
STPT(10)	2097852796069955801	0 2 30 32 60 62 90 92 120 122	87935695104
STPT(10)	2097852870830642381	0 2 30 32 78 80 126 128 156 158	162696381684
SPT(16)	2097853066959496039	0 70 84 114 118 142 154 160 222 228 240 264 268 298 312 382	358825235342
STPT(10)	2097853121122812671	0 2 36 38 78 80 120 122 156 158	412988551974
SPT(16)	2097853335752108747	0 14 36 72 92 114 116 120 176 180 182 204 224 260 282 296	627617848050