Prime p₀= 2316570270102118739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: JonS
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2316568774883968961	0 2 48 56 72 80 90 108 170 188 198 206 222 230 276 278	-1495218149778
STPT(10)	2316568784252544137	0 2 30 32 42 44 54 56 84 86	-1485849574602
SPT(16)	2316569359657600841	0 6 56 92 146 260 300 308 330 338 378 492 546 582 632 638	-910444517898
STPT(10)	2316569520140778347	0 2 30 32 42 44 54 56 84 86	-749961340392
SPT(16)	2316569919341548111	0 10 28 30 36 66 72 82 96 106 112 142 148 150 168 178	-350760570628
SPT(16)	2316570154798605163	0 6 28 30 34 64 76 90 94 108 120 150 154 156 178 184	-115303513576
STPT(10)	2316570336639395867	0 2 30 32 60 62 90 92 120 122	66537277128
STPT(10)	2316571010474366687	0 2 30 32 42 44 54 56 84 86	740372247948
SPT(16)	2316571061139555667	0 10 16 72 150 166 192 214 222 244 270 286 364 420 426 436	791037436928
STPT(10)	2316571246008761639	0 2 18 20 30 32 42 44 60 62	975906642900
SPT(16)	2316571960377199919	0 14 20 78 84 92 128 174 248 294 330 338 344 402 408 422	1690275081180