Prime p₀= 2497629056889276839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2497625822624621449	0 24 28 34 40 70 78 138 160 220 228 258 264 270 274 298	-3234264655390
STPT(10)	2497626732465716387	0 2 30 32 42 44 54 56 84 86	-2324423560452
SPT(16)	2497627182951264173	0 54 56 68 140 206 218 258 266 306 318 384 456 468 470 524	-1873938012666
STPT(10)	2497628115806514659	0 2 12 14 90 92 168 170 180 182	-941082762180
SPT(16)	2497628224135710287	0 6 30 44 72 110 114 146 150 182 186 224 252 266 290 296	-832753566552
SPT(16)	2497628964324977663	0 38 60 90 144 174 188 224 354 390 404 434 488 518 540 578	-92564299176
STPT(10)	2497629301003296371	0 2 6 8 18 20 30 32 36 38	244114019532
STPT(10)	2497630070168241077	0 2 24 26 42 44 60 62 84 86	1013278964238
SPT(16)	2497630110225430337	0 6 24 54 62 66 72 84 92 104 110 114 122 152 170 176	1053336153498
SPT(16)	2497630570212187237	0 66 76 94 106 120 196 202 204 210 286 300 312 330 340 406	1513322910398
SPT(16)	2497630813480363667	0 2 32 42 120 126 176 236 270 330 380 386 464 474 504 506	1756591086828