Prime p₀= 796377036137881769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG]FX
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	796375561114086883	0 94 96 130 144 168 178 184 210 216 226 250 264 298 300 394	-1475023794886
STPT(10)	796375801264997279	0 2 18 20 30 32 42 44 60 62	-1234872884490
SPT(16)	796375929105286951	0 18 22 58 66 88 100 148 150 198 210 232 240 276 280 298	-1107032594818
SPT(16)	796376036859396109	0 12 22 130 160 174 204 238 264 298 328 342 372 480 490 502	-999278485660
SPT(16)	796376473161886753	0 6 16 24 48 64 66 76 108 118 120 136 160 168 178 184	-562975995016
SPT(18)	796376483461693213	0 6 76 78 84 88 100 106 210 274 378 384 396 400 406 408 478 484	-552676188556
STPT(12)	796377085273472189	0 2 12 14 48 50 132 134 168 170 180 182	49135590420
SPT(16)	796377365496090319	0 12 28 34 40 54 82 84 88 90 118 132 138 144 160 172	329358208550
SPT(16)	796377404951916719	0 50 78 98 114 200 254 284 288 318 372 458 474 494 522 572	368814034950
TPT(14)	796377889640081657	0 2 72 74 84 86 192 194 210 212 252 254 270 272	853502199888
SPT(16)	796378614159157921	0 6 22 30 72 82 90 300 358 568 576 586 628 636 652 658	1578021276152