Prime p₀= 1586021644002256847 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: Icecold
db: batch=78, k=10, 2 10 2 28 2

STPT(10)	1586020914045712049	0 2 42 44 90 92 138 140 180 182	-729956544798
SPT(16)	1586020957374569119	0 4 34 40 48 70 82 130 132 180 192 214 222 228 258 262	-686627687728
STPT(10)	1586021019851642189	0 2 12 14 30 32 48 50 60 62	-624150614658
SPT(16)	1586021048441341249	0 34 64 70 82 124 154 162 202 210 240 282 294 300 330 364	-595560915598
SPT(16)	1586021092384062953	0 24 54 78 80 86 114 150 194 230 258 264 266 290 320 344	-551618193894
SPT(16)	1586021231692190081	0 18 66 68 96 120 176 228 350 402 458 482 510 512 560 578	-412310066766
SPT(16)	1586021684298337463	0 24 66 74 80 108 116 146 168 198 206 234 240 248 290 314	40296080616
STPT(10)	1586021722544287529	0 2 42 44 90 92 138 140 180 182	78542030682
SPT(16)	1586022171014270113	0 18 40 46 60 168 178 180 244 246 256 364 378 384 406 424	527012013266
STPT(10)	1586022697740306611	0 2 30 32 60 62 90 92 120 122	1053738049764
STPT(10)	1586022767356828679	0 2 48 50 90 92 132 134 180 182	1123354571832