Prime p₀= 2449357078872507257 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2449356052075726979	0 12 48 50 72 104 108 120 182 194 198 230 252 254 290 302	-1026796780278
SPT(16)	2449356150137237801	0 50 92 132 140 150 182 192 218 228 260 270 278 318 360 410	-928735269456
STPT(10)	2449356746139700091	0 2 36 38 78 80 120 122 156 158	-332732807166
TPT(14)	2449356886753856531	0 2 6 8 60 62 138 140 156 158 168 170 180 182	-192118650726
SPT(16)	2449356981839073067	0 10 46 76 90 144 166 186 244 264 286 340 354 384 420 430	-97033434190
STPT(10)	2449357050178048469	0 2 18 20 30 32 42 44 60 62	-28694458788
TPT(14)	2449357231212915899	0 2 12 14 30 32 108 110 168 170 192 194 210 212	152340408642
SPT(16)	2449357295908455601	0 58 88 130 138 168 210 240 298 328 370 400 408 450 480 538	217035948344
TPT(14)	2449357391162921801	0 2 18 20 126 128 168 170 258 260 336 338 498 500	312290414544
SPT(16)	2449357430291982731	0 6 20 56 80 146 152 198 290 336 342 408 432 468 482 488	351419475474
SPT(16)	2449357616590479887	0 6 50 122 162 182 194 222 314 342 354 374 414 486 530 536	537717972630