Prime p₀= 2570401755568325057 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2570400376062592741	0 6 12 70 96 126 136 142 150 156 166 196 222 280 286 292	-1379505732316
SPT(16)	2570400618568114991	0 32 60 86 98 126 128 138 140 150 152 180 192 218 246 278	-1137000210066
STPT(10)	2570400697371401639	0 2 42 44 90 92 138 140 180 182	-1058196923418
STPT(10)	2570400708054311651	0 2 36 38 78 80 120 122 156 158	-1047514013406
STPT(10)	2570400906251660309	0 2 18 20 60 62 102 104 120 122	-849316664748
STPT(10)	2570401671852865691	0 2 36 38 78 80 120 122 156 158	-83715459366
STPT(10)	2570401926672254921	0 2 36 38 78 80 120 122 156 158	171103929864
SPT(16)	2570401947924369529	0 48 78 94 144 148 192 252 280 340 384 388 438 454 484 532	192356044472
TPT(14)	2570402201380124471	0 2 48 50 120 122 150 152 330 332 390 392 426 428	445811799414
STPT(10)	2570402400937329989	0 2 30 32 60 62 90 92 120 122	645369004932
SPT(16)	2570402509193318777	0 42 66 80 102 132 150 176 216 242 260 290 312 326 350 392	753624993720