Prime p₀= 1058544348480181889 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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=76, k=10, 2 16 2 10 2

SPT(16)	1058543397215280451	0 12 18 40 76 88 102 126 142 166 180 192 228 250 256 268	-951264901438
TPT(14)	1058543609156575121	0 2 138 140 156 158 228 230 306 308 420 422 528 530	-739323606768
STPT(10)	1058543673265185431	0 2 36 38 78 80 120 122 156 158	-675214996458
STPT(10)	1058543710374247421	0 2 36 38 78 80 120 122 156 158	-638105934468
STPT(10)	1058543726906215601	0 2 6 8 18 20 30 32 36 38	-621573966288
STPT(10)	1058543742646942439	0 2 18 20 30 32 42 44 60 62	-605833239450
STPT(12)	1058544641992900169	0 2 30 32 72 74 90 92 132 134 162 164	293512718280
SPT(16)	1058544850717552069	0 18 34 48 102 130 148 154 258 264 282 310 364 378 394 412	502237370180
SPT(16)	1058546028863545291	0 12 40 72 82 156 166 172 180 186 196 270 280 312 340 352	1680383363402
SPT(16)	1058546057372264431	0 12 22 60 66 70 136 166 192 222 288 292 298 336 346 358	1708892082542
STPT(10)	1058546373368183639	0 2 18 20 30 32 42 44 60 62	2024888001750