Prime p₀= 2178824089943170037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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=81, k=10, 2 28 2 10 2

STPT(10)	2178822929397310751	0 2 36 38 78 80 120 122 156 158	-1160545859286
SPT(16)	2178823213300253671	0 90 112 222 238 282 352 358 390 396 466 510 526 636 658 748	-876642916366
SPT(16)	2178823591225441021	0 28 46 58 70 120 196 310 318 432 508 558 570 582 600 628	-498717729016
SPT(16)	2178823614513732079	0 28 64 70 124 132 148 174 238 264 280 288 342 348 384 412	-475429437958
STPT(10)	2178823771862328467	0 2 30 32 60 62 90 92 120 122	-318080841570
STPT(10)	2178823942305379511	0 2 6 8 18 20 30 32 36 38	-147637790526
STPT(10)	2178824131049786177	0 2 42 44 72 74 102 104 144 146	41106616140
STPT(10)	2178824165860902137	0 2 30 32 42 44 54 56 84 86	75917732100
SPT(16)	2178825146560271551	0 18 28 30 40 102 112 118 150 156 166 228 238 240 250 268	1056617101514
STPT(10)	2178825173208150191	0 2 6 8 48 50 90 92 96 98	1083264980154
TPT(14)	2178825389868936689	0 2 12 14 168 170 210 212 282 284 408 410 480 482	1299925766652