Prime p₀= 1058543726906215601 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

TPT(14)	1058543237919992567	0 2 42 44 54 56 210 212 240 242 252 254 294 296	-488986223034
TPT(14)	1058543299324967999	0 2 12 14 90 92 228 230 342 344 420 422 438 440	-427581247602
SPT(16)	1058543397215280451	0 12 18 40 76 88 102 126 142 166 180 192 228 250 256 268	-329690935150
TPT(14)	1058543609156575121	0 2 138 140 156 158 228 230 306 308 420 422 528 530	-117749640480
STPT(10)	1058543673265185431	0 2 36 38 78 80 120 122 156 158	-53641030170
STPT(10)	1058543710374247421	0 2 36 38 78 80 120 122 156 158	-16531968180
STPT(10)	1058543742646942439	0 2 18 20 30 32 42 44 60 62	15740726838
STPT(10)	1058544348480181889	0 2 18 20 30 32 42 44 60 62	621573966288
STPT(12)	1058544641992900169	0 2 30 32 72 74 90 92 132 134 162 164	915086684568
SPT(16)	1058544850717552069	0 18 34 48 102 130 148 154 258 264 282 310 364 378 394 412	1123811336468
SPT(16)	1058546028863545291	0 12 40 72 82 156 166 172 180 186 196 270 280 312 340 352	2301957329690