Prime p₀= 2623547714716179959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: arkiss
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2623546403843048261	0 2 6 18 26 30 56 62 96 102 128 132 140 152 156 158	-1310873131698
STPT(10)	2623546650456281651	0 2 6 8 48 50 90 92 96 98	-1064259898308
SPT(16)	2623546889313268213	0 66 78 94 114 256 274 304 330 360 378 520 540 556 568 634	-825402911746
STPT(10)	2623547107941158429	0 2 30 32 60 62 90 92 120 122	-606775021530
SPT(16)	2623547329447594181	0 2 20 90 146 176 192 198 260 266 282 312 368 438 456 458	-385268585778
SPT(16)	2623547668094632787	0 26 32 72 110 134 186 212 354 380 432 456 494 534 540 566	-46621547172
STPT(10)	2623547846312329379	0 2 18 20 60 62 102 104 120 122	131596149420
SPT(16)	2623547930828109919	0 12 30 72 100 102 138 144 238 244 280 282 310 352 370 382	216111929960
STPT(10)	2623548059613760187	0 2 30 32 42 44 54 56 84 86	344897580228
SPT(16)	2623548091780150099	0 22 48 90 154 192 214 258 274 318 340 378 442 484 510 532	377063970140
SPT(16)	2623548131825475919	0 10 28 58 108 180 190 234 238 282 292 364 414 444 462 472	417109295960