Prime p₀= 2874809914809337667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2874808352961700237	0 24 40 66 102 144 166 172 174 180 202 244 280 306 322 346	-1561847637430
SPT(16)	2874808453734068473	0 6 34 58 88 108 124 196 198 270 286 306 336 360 388 394	-1461075269194
STPT(12)	2874808585956592001	0 2 36 38 78 80 168 170 210 212 246 248	-1328852745666
STPT(10)	2874808926939460499	0 2 18 20 30 32 42 44 60 62	-987869877168
TPT(16)	2874809349701529209	0 2 48 50 72 74 180 182 420 422 600 602 648 650 690 692	-565107808458
STPT(10)	2874809811590295581	0 2 30 32 60 62 90 92 120 122	-103219042086
SPT(16)	2874810052693741777	0 4 6 30 54 66 90 102 124 136 160 172 196 220 222 226	137884404110
STPT(10)	2874810129407216051	0 2 6 8 18 20 30 32 36 38	214597878384
STPT(10)	2874810181879406567	0 2 24 26 42 44 60 62 84 86	267070068900
SPT(16)	2874811087184846179	0 54 60 82 94 100 112 168 184 240 252 258 270 292 298 352	1172375508512
SPT(16)	2874811100466191129	0 42 132 152 158 182 222 258 272 308 348 372 378 398 488 530	1185656853462