Prime p₀= 4387577137581050009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: [SG-2W]Kurzer
db: batch=85, k=10, 2 40 2 16 2

STPT(10)	4387575352998433007	0 2 24 26 42 44 60 62 84 86	-1784582617002
SPT(16)	4387575360674249897	0 2 20 26 30 44 126 132 194 200 282 296 300 306 324 326	-1776906800112
SPT(16)	4387576255936365049	0 34 54 64 90 112 130 204 220 294 312 334 360 370 390 424	-881644684960
STPT(10)	4387576598699116517	0 2 30 32 60 62 90 92 120 122	-538881933492
SPT(16)	4387576608112299253	0 60 64 100 130 136 138 156 178 196 198 204 234 270 274 334	-529468750756
SPT(16)	4387576711782747113	0 8 24 44 54 74 80 98 180 198 204 224 234 254 270 278	-425798302896
STPT(10)	4387577199787988411	0 2 6 8 18 20 30 32 36 38	62206938402
SPT(16)	4387577639301012697	0 34 52 66 112 132 136 154 192 210 214 234 280 294 312 346	501719962688
SPT(16)	4387577668561503347	0 26 42 54 60 72 114 116 180 182 224 236 242 254 270 296	530980453338
STPT(10)	4387577956320858161	0 2 36 38 78 80 120 122 156 158	818739808152
STPT(10)	4387578173275526027	0 2 30 32 42 44 54 56 84 86	1035694476018