Prime p₀= 2396881373410639637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JonS
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2396879135278690157	0 14 60 86 140 146 156 170 300 314 324 330 384 410 456 470	-2238131949480
STPT(10)	2396879641849892831	0 2 30 32 78 80 126 128 156 158	-1731560746806
TPT(14)	2396879896447730621	0 2 30 32 48 50 96 98 156 158 186 188 198 200	-1476962909016
STPT(10)	2396879962364999957	0 2 24 26 42 44 60 62 84 86	-1411045639680
TPT(14)	2396881105984887419	0 2 18 20 30 32 72 74 102 104 240 242 258 260	-267425752218
SPT(16)	2396881196529581269	0 28 34 78 138 148 202 204 208 210 264 274 334 378 384 412	-176881058368
SPT(16)	2396881544929042519	0 12 82 84 90 108 148 150 232 234 274 292 298 300 370 382	171518402882
TPT(14)	2396881899862984949	0 2 18 20 42 44 48 50 72 74 240 242 252 254	526452345312
SPT(16)	2396882374220451011	0 26 38 48 56 98 108 126 170 188 198 240 248 258 270 296	1000809811374
SPT(16)	2396882811319108823	0 6 50 54 60 78 168 176 228 236 326 344 350 354 398 404	1437908469186
STPT(10)	2396882960938132127	0 2 24 26 42 44 60 62 84 86	1587527492490