Prime p₀= 1056960013643381147 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	1056958894804633649	0 2 12 14 90 92 168 170 180 182	-1118838747498
STPT(10)	1056959233489889699	0 2 12 14 30 32 48 50 60 62	-780153491448
STPT(10)	1056959445270569681	0 2 36 38 78 80 120 122 156 158	-568372811466
SPT(16)	1056959533184394997	0 54 84 112 120 124 154 166 180 192 222 226 234 262 292 346	-480458986150
STPT(10)	1056959728019931101	0 2 36 38 78 80 120 122 156 158	-285623450046
SPT(16)	1056959887573990619	0 20 32 48 72 114 128 140 192 204 218 260 284 300 312 332	-126069390528
SPT(16)	1056960194822847563	0 54 56 78 96 108 110 156 218 264 266 278 296 318 320 374	181179466416
SPT(16)	1056960320311968991	0 28 52 58 72 76 118 150 178 210 252 256 270 276 300 328	306668587844
STPT(10)	1056960386862898517	0 2 24 26 42 44 60 62 84 86	373219517370
TPT(14)	1056960429442648271	0 2 6 8 30 32 60 62 78 80 126 128 186 188	415799267124
SPT(16)	1056960682580227289	0 60 72 144 168 210 242 258 404 420 452 494 518 590 602 662	668936846142