Prime p₀= 724864816198019009 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: EarlyBird@Zircons
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	724864023152779373	0 6 26 50 78 90 96 108 278 290 296 308 336 360 380 386	-793045239636
STPT(10)	724864161107067011	0 2 30 32 60 62 90 92 120 122	-655090951998
SPT(16)	724864494138639433	0 24 34 54 88 94 96 126 178 208 210 216 250 270 280 304	-322059379576
STPT(10)	724864631177957321	0 2 6 8 18 20 30 32 36 38	-185020061688
STPT(10)	724864688256374759	0 2 42 44 60 62 78 80 120 122	-127941644250
STPT(10)	724864725263269571	0 2 30 32 78 80 126 128 156 158	-90934749438
STPT(10)	724865285217576467	0 2 30 32 42 44 54 56 84 86	469019557458
STPT(10)	724865432115737567	0 2 12 14 72 74 132 134 144 146	615917718558
SPT(16)	724865439958476787	0 10 24 60 64 66 120 126 130 136 190 192 196 232 246 256	623760457778
STPT(10)	724865471096014277	0 2 12 14 42 44 72 74 84 86	654897995268
SPT(16)	724865514667916137	0 52 66 112 162 172 180 190 252 262 270 280 330 376 390 442	698469897128