Prime p₀= 2023871736850057667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: CoolAtchOk
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2023870856034191299	0 24 42 94 132 154 178 252 280 354 378 400 438 490 508 532	-880815866368
SPT(16)	2023870909180711169	0 12 18 90 98 150 174 218 234 278 302 354 362 434 440 452	-827669346498
STPT(10)	2023870987693682327	0 2 12 14 72 74 132 134 144 146	-749156375340
SPT(16)	2023871322255805189	0 18 48 70 82 102 154 172 180 198 250 270 282 304 334 352	-414594252478
SPT(16)	2023871691583390919	0 12 18 32 48 62 78 152 210 284 300 314 330 344 350 362	-45266666748
SPT(16)	2023871710081092647	0 20 24 44 72 114 116 140 156 180 182 224 252 272 276 296	-26768965020
STPT(10)	2023871817397154117	0 2 30 32 42 44 54 56 84 86	80547096450
SPT(16)	2023872260026844441	0 12 62 86 90 96 102 110 132 140 146 152 156 180 230 242	523176786774
STPT(10)	2023872267582075509	0 2 18 20 30 32 42 44 60 62	530732017842
SPT(16)	2023872982888441639	0 12 22 28 58 70 78 100 162 184 192 204 234 240 250 262	1246038383972
SPT(16)	2023873069777196509	0 18 40 78 82 100 130 172 240 282 312 330 334 372 394 412	1332927138842