Prime p₀= 2306685647458800677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2306684697022407803	0 24 30 38 56 164 168 258 296 386 390 498 516 524 530 554	-950436392874
SPT(16)	2306684712904808597	0 30 36 50 56 74 152 170 186 204 282 300 306 320 326 356	-934553992080
STPT(10)	2306684776541120489	0 2 48 50 90 92 132 134 180 182	-870917680188
STPT(10)	2306685006664590161	0 2 30 32 78 80 126 128 156 158	-640794210516
STPT(10)	2306685172099746701	0 2 6 8 48 50 90 92 96 98	-475359053976
SPT(16)	2306685503251291849	0 12 42 88 112 120 130 142 168 180 190 198 222 268 298 310	-144207508828
SPT(16)	2306685691283783129	0 14 78 102 144 180 194 204 248 258 272 308 350 374 438 452	43824982452
STPT(10)	2306685797475431147	0 2 12 14 42 44 72 74 84 86	150016630470
STPT(10)	2306685867739264367	0 2 30 32 72 74 114 116 144 146	220280463690
STPT(10)	2306685880608003491	0 2 36 38 78 80 120 122 156 158	233149202814
STPT(10)	2306685895548238871	0 2 6 8 18 20 30 32 36 38	248089438194