Prime p₀= 2566550568642031817 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(18)	2566549326478514483	0 18 54 74 78 84 138 156 170 234 248 266 320 326 330 350 386 404	-1242163517334
SPT(16)	2566549360777287323	0 6 78 138 176 218 230 320 324 414 426 468 506 566 638 644	-1207864744494
SPT(16)	2566549861892862949	0 28 48 64 88 90 178 190 192 204 292 294 318 334 354 382	-706749168868
SPT(16)	2566550033721217919	0 14 30 42 72 102 104 140 144 180 182 212 242 254 270 284	-534920813898
STPT(10)	2566550309429366957	0 2 54 56 72 74 90 92 144 146	-259212664860
STPT(10)	2566550425504075259	0 2 18 20 30 32 42 44 60 62	-143137956558
STPT(10)	2566550892763884737	0 2 12 14 42 44 72 74 84 86	324121852920
SPT(16)	2566551083750687443	0 4 28 40 54 60 78 88 120 130 148 154 168 180 204 208	515108655626
SPT(16)	2566551419328089807	0 74 80 102 104 116 164 186 230 252 300 312 314 336 342 416	850686057990
STPT(10)	2566551746106280769	0 2 48 50 90 92 132 134 180 182	1177464248952
SPT(16)	2566552745291047283	0 80 96 114 128 134 150 168 206 224 240 246 260 278 294 374	2176649015466