Prime p₀= 956856729025431977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: HenkM
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	956854997747205839	0 2 18 20 60 62 102 104 120 122	-1731278226138
STPT(10)	956855134125398549	0 2 18 20 30 32 42 44 60 62	-1594900033428
STPT(10)	956855621000385647	0 2 30 32 72 74 114 116 144 146	-1108025046330
SPT(16)	956855710369917811	0 46 60 88 120 126 138 172 186 220 232 238 270 298 312 358	-1018655514166
STPT(10)	956855900201517521	0 2 6 8 18 20 30 32 36 38	-828823914456
STPT(12)	956856675527481341	0 2 18 20 60 62 96 98 138 140 156 158	-53497950636
SPT(16)	956856920369848903	0 60 66 94 114 124 130 136 228 234 240 250 270 298 304 364	191344416926
TPT(14)	956857082035767089	0 2 48 50 78 80 90 92 132 134 168 170 282 284	353010335112
SPT(16)	956857101919643831	0 8 32 102 152 200 240 282 308 350 390 438 488 558 582 590	372894211854
SPT(16)	956857733285493421	0 28 70 82 90 96 130 226 282 378 412 418 426 438 480 508	1004260061444
SPT(16)	956858311214698913	0 60 74 114 126 144 186 236 384 434 476 494 506 546 560 620	1582189266936