Prime p₀= 2623891876424281271 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: pah
db: batch=82, k=10, 2 4 2 40 2

STPT(10)	2623890362526660509	0 2 42 44 60 62 78 80 120 122	-1513897620762
SPT(16)	2623891051431627023	0 8 18 44 68 128 144 168 170 194 210 270 294 320 330 338	-824992654248
STPT(10)	2623891074420132071	0 2 36 38 78 80 120 122 156 158	-802004149200
SPT(16)	2623891225317847619	0 14 32 84 98 110 120 150 212 242 252 264 278 330 348 362	-651106433652
SPT(16)	2623891468628808991	0 12 16 90 118 126 142 156 172 186 202 210 238 312 316 328	-407795472280
SPT(16)	2623891583564703059	0 2 32 80 114 138 174 192 230 248 284 308 342 390 420 422	-292859578212
SPT(16)	2623892634433902869	0 14 24 92 98 102 114 198 254 338 350 354 360 428 438 452	758009621598
SPT(16)	2623892666976062827	0 4 10 42 66 70 76 94 102 120 126 130 154 186 192 196	790551781556
SPT(16)	2623892900742686779	0 10 12 40 78 82 84 114 118 148 150 154 192 220 222 232	1024318405508
SPT(16)	2623893570605714999	0 8 12 44 60 74 98 114 158 174 198 212 228 260 264 272	1694181433728
SPT(16)	2623893949368711259	0 10 28 30 48 78 100 162 190 252 274 304 322 324 342 352	2072944429988