Prime p₀= 2570469692842775159 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: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2570467703990964389	0 2 50 54 98 104 128 150 152 174 198 204 248 252 300 302	-1988851810770
SPT(16)	2570467781035541207	0 74 134 140 162 170 210 240 296 326 366 374 396 402 462 536	-1911807233952
STPT(10)	2570468109538566449	0 2 42 44 60 62 78 80 120 122	-1583304208710
STPT(10)	2570468128419546917	0 2 42 44 72 74 102 104 144 146	-1564423228242
STPT(10)	2570468191546386491	0 2 6 8 48 50 90 92 96 98	-1501296388668
STPT(10)	2570468386588094789	0 2 18 20 30 32 42 44 60 62	-1306254680370
SPT(16)	2570470166367073181	0 2 38 78 98 138 150 170 288 308 320 360 380 420 456 458	473524298022
SPT(16)	2570470536457877399	0 8 38 42 62 68 90 110 120 140 162 168 188 192 222 230	843615102240
STPT(12)	2570470554576355349	0 2 42 44 48 50 72 74 78 80 120 122	861733580190
STPT(10)	2570470651740974501	0 2 30 32 78 80 126 128 156 158	958898199342
STPT(10)	2570470917911892509	0 2 42 44 90 92 138 140 180 182	1225069117350