Prime p₀= 2497630070168241077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2497627182951264173	0 54 56 68 140 206 218 258 266 306 318 384 456 468 470 524	-2887216976904
STPT(10)	2497628115806514659	0 2 12 14 90 92 168 170 180 182	-1954361726418
SPT(16)	2497628224135710287	0 6 30 44 72 110 114 146 150 182 186 224 252 266 290 296	-1846032530790
SPT(16)	2497628964324977663	0 38 60 90 144 174 188 224 354 390 404 434 488 518 540 578	-1105843263414
STPT(10)	2497629056889276839	0 2 12 14 90 92 168 170 180 182	-1013278964238
STPT(10)	2497629301003296371	0 2 6 8 18 20 30 32 36 38	-769164944706
SPT(16)	2497630110225430337	0 6 24 54 62 66 72 84 92 104 110 114 122 152 170 176	40057189260
SPT(16)	2497630570212187237	0 66 76 94 106 120 196 202 204 210 286 300 312 330 340 406	500043946160
SPT(16)	2497630813480363667	0 2 32 42 120 126 176 236 270 330 380 386 464 474 504 506	743312122590
SPT(16)	2497631129592527743	0 126 148 180 190 196 216 250 276 310 330 336 346 378 400 526	1059424286666
SPT(16)	2497631364573924307	0 4 40 66 84 94 114 124 156 166 186 196 214 240 276 280	1294405683230