Prime p₀= 2310608488344732131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: FritzB
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2310605016954895891	0 6 48 58 70 102 136 150 178 192 226 258 270 280 322 328	-3471389836240
STPT(10)	2310605878230632579	0 2 42 44 60 62 78 80 120 122	-2610114099552
SPT(16)	2310605900130968263	0 24 66 84 96 108 130 150 154 174 196 208 220 238 280 304	-2588213763868
TPT(14)	2310605900798849627	0 2 30 32 54 56 72 74 114 116 120 122 150 152	-2587545882504
SPT(16)	2310607736886694799	0 24 144 162 198 204 264 270 302 308 368 374 410 428 548 572	-751458037332
SPT(16)	2310607954181055161	0 66 80 92 128 168 180 188 240 248 260 300 336 348 362 428	-534163676970
SPT(16)	2310609116506909549	0 18 24 30 48 84 102 108 154 160 178 214 232 238 244 262	628162177418
TPT(14)	2310609239776537517	0 2 30 32 72 74 102 104 180 182 240 242 312 314	751431805386
SPT(16)	2310609391139877721	0 12 28 66 88 108 112 130 168 186 190 210 232 270 286 298	902795145590
STPT(10)	2310609413418093839	0 2 18 20 30 32 42 44 60 62	925073361708
SPT(16)	2310609505623695917	0 60 106 196 280 312 330 342 394 406 424 456 540 630 676 736	1017278963786