Prime p₀= 1268608908991954499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Theadalus
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1268608317048746249	0 8 38 42 50 78 80 92 288 300 302 330 338 342 372 380	-591943208250
SPT(16)	1268608340051741831	0 38 48 98 146 162 206 228 230 252 296 312 360 410 420 458	-568940212668
SPT(16)	1268608387479779861	0 8 30 50 60 72 78 86 102 110 116 128 138 158 180 188	-521512174638
STPT(10)	1268608391111679227	0 2 30 32 42 44 54 56 84 86	-517880275272
SPT(16)	1268608673690754883	0 36 48 76 78 88 160 166 168 174 246 256 258 286 298 334	-235301199616
STPT(10)	1268608720038162869	0 2 42 44 60 62 78 80 120 122	-188953791630
STPT(10)	1268608916688224117	0 2 30 32 42 44 54 56 84 86	7696269618
TPT(14)	1268609196353956841	0 2 18 20 96 98 198 200 360 362 366 368 378 380	287362002342
STPT(10)	1268609529495633887	0 2 42 44 72 74 102 104 144 146	620503679388
STPT(10)	1268609763281465777	0 2 42 44 72 74 102 104 144 146	854289511278
STPT(10)	1268609930228687819	0 2 48 50 90 92 132 134 180 182	1021236733320