Prime p₀= 2592871703032642061 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Roadranner
db: batch=82, k=10, 2 28 2 28 2

TPT(14)	2592870323278398377	0 2 12 14 30 32 60 62 90 92 102 104 144 146	-1379754243684
STPT(10)	2592870730325852069	0 2 30 32 60 62 90 92 120 122	-972706789992
STPT(10)	2592870885042074249	0 2 18 20 30 32 42 44 60 62	-817990567812
SPT(16)	2592871291687316597	0 2 12 80 86 156 182 192 200 210 236 306 312 380 390 392	-411345325464
STPT(10)	2592871512210978527	0 2 12 14 42 44 72 74 84 86	-190821663534
STPT(12)	2592871583629577309	0 2 12 14 42 44 48 50 78 80 90 92	-119403064752
SPT(16)	2592871940180757973	0 6 40 100 114 180 216 220 240 244 280 346 360 420 454 460	237148115912
STPT(10)	2592872138110875947	0 2 60 62 72 74 84 86 144 146	435078233886
SPT(16)	2592872274850627919	0 32 80 84 92 140 182 188 204 210 252 300 308 312 360 392	571817985858
SPT(16)	2592872417519702827	0 34 36 66 82 106 112 126 130 144 150 174 190 220 222 256	714487060766
TPT(14)	2592872769698525861	0 2 30 32 66 68 120 122 138 140 150 152 198 200	1066665883800