Prime p₀= 2679769740807597857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: biodoc
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2679768405591882287	0 2 42 44 72 74 102 104 144 146	-1335215715570
STPT(10)	2679768573903567647	0 2 54 56 72 74 90 92 144 146	-1166904030210
STPT(10)	2679768741933052697	0 2 54 56 72 74 90 92 144 146	-998874545160
SPT(16)	2679768773899310659	0 10 52 88 118 150 174 192 280 298 322 354 384 420 462 472	-966908287198
SPT(16)	2679769363000823263	0 100 108 114 126 148 184 234 280 330 366 388 400 406 414 514	-377806774594
TPT(14)	2679769730310942149	0 2 12 14 18 20 108 110 150 152 210 212 270 272	-10496655708
SPT(16)	2679770501725065347	0 30 54 60 62 74 144 170 186 212 282 294 296 302 326 356	760917467490
STPT(10)	2679770730757533617	0 2 12 14 42 44 72 74 84 86	989949935760
STPT(10)	2679770929821244937	0 2 12 14 42 44 72 74 84 86	1189013647080
SPT(16)	2679770946222675289	0 18 48 52 138 150 160 162 220 222 232 244 330 334 364 382	1205415077432
SPT(16)	2679771543259966039	0 22 30 40 42 58 100 132 148 180 222 238 240 250 258 280	1802452368182