Prime p₀= 2338337363107016039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2338336089739811417	0 2 44 86 90 114 116 152 204 240 242 266 270 312 354 356	-1273367204622
STPT(10)	2338336589583634049	0 2 48 50 90 92 132 134 180 182	-773523381990
TPT(14)	2338336738598578169	0 2 12 14 18 20 48 50 60 62 72 74 132 134	-624508437870
SPT(16)	2338336773920435389	0 40 54 112 148 162 168 190 252 274 280 294 330 388 402 442	-589186580650
SPT(16)	2338337072822229293	0 14 80 110 128 140 210 278 306 374 444 456 474 504 570 584	-290284786746
SPT(16)	2338337349340830419	0 8 30 60 84 110 128 138 140 150 168 194 218 248 270 278	-13766185620
SPT(16)	2338338225671357251	0 42 66 96 132 136 226 240 322 336 426 430 466 496 520 562	862564341212
STPT(10)	2338339004360503997	0 2 30 32 72 74 114 116 144 146	1641253487958
SPT(16)	2338339021485022183	0 18 24 34 46 94 108 130 174 196 210 258 270 280 286 304	1658378006144
STPT(10)	2338339037828218091	0 2 6 8 18 20 30 32 36 38	1674721202052
STPT(10)	2338339122132718889	0 2 18 20 30 32 42 44 60 62	1759025702850