Prime p₀= 2181268510125514721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2181267736023354133	0 30 58 64 70 94 96 100 234 238 240 264 270 276 304 334	-774102160588
SPT(16)	2181267867711302281	0 22 60 118 120 196 252 282 286 316 372 448 450 508 546 568	-642414212440
SPT(16)	2181267874534405669	0 42 52 78 84 90 108 130 192 214 232 238 244 270 280 322	-635591109052
STPT(10)	2181267945091635947	0 2 30 32 42 44 54 56 84 86	-565033878774
SPT(16)	2181268223222398523	0 6 14 30 56 66 114 120 224 230 278 288 314 330 338 344	-286903116198
STPT(10)	2181268326663077537	0 2 12 14 72 74 132 134 144 146	-183462437184
TPT(14)	2181268685187410321	0 2 66 68 96 98 126 128 138 140 156 158 198 200	175061895600
SPT(16)	2181269273514178579	0 4 30 42 58 64 84 88 114 118 138 144 160 172 198 202	763388663858
STPT(10)	2181269411267860097	0 2 30 32 60 62 90 92 120 122	901142345376
STPT(10)	2181269447017721867	0 2 42 44 72 74 102 104 144 146	936892207146
STPT(10)	2181269702983797197	0 2 90 92 102 104 114 116 204 206	1192858282476