Prime p₀= 2566550892763884737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2566549360777287323	0 6 78 138 176 218 230 320 324 414 426 468 506 566 638 644	-1531986597414
SPT(16)	2566549861892862949	0 28 48 64 88 90 178 190 192 204 292 294 318 334 354 382	-1030871021788
SPT(16)	2566550033721217919	0 14 30 42 72 102 104 140 144 180 182 212 242 254 270 284	-859042666818
STPT(10)	2566550309429366957	0 2 54 56 72 74 90 92 144 146	-583334517780
STPT(10)	2566550425504075259	0 2 18 20 30 32 42 44 60 62	-467259809478
STPT(10)	2566550568642031817	0 2 24 26 42 44 60 62 84 86	-324121852920
SPT(16)	2566551083750687443	0 4 28 40 54 60 78 88 120 130 148 154 168 180 204 208	190986802706
SPT(16)	2566551419328089807	0 74 80 102 104 116 164 186 230 252 300 312 314 336 342 416	526564205070
STPT(10)	2566551746106280769	0 2 48 50 90 92 132 134 180 182	853342396032
SPT(16)	2566552745291047283	0 80 96 114 128 134 150 168 206 224 240 246 260 278 294 374	1852527162546
STPT(10)	2566553132419905401	0 2 90 92 108 110 126 128 216 218	2239656020664