Prime p₀= 2506447252998140651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: [SG-FC] hl
db: batch=82, k=10, 2 76 2 28 2

STPT(10)	2506446477830583287	0 2 24 26 42 44 60 62 84 86	-775167557364
SPT(16)	2506446603771330299	0 8 92 102 140 162 164 182 210 228 230 252 290 300 384 392	-649226810352
STPT(10)	2506446952142724917	0 2 30 32 42 44 54 56 84 86	-300855415734
STPT(10)	2506446995256245771	0 2 36 38 78 80 120 122 156 158	-257741894880
SPT(16)	2506446998304816097	0 4 34 40 42 82 100 114 142 156 174 214 216 222 252 256	-254693324554
SPT(16)	2506447074046319827	0 30 54 66 82 112 132 142 234 244 264 294 310 322 346 376	-178951820824
STPT(10)	2506447447475444897	0 2 30 32 72 74 114 116 144 146	194477304246
STPT(10)	2506447515535597367	0 2 30 32 42 44 54 56 84 86	262537456716
STPT(10)	2506448099249347709	0 2 78 80 120 122 162 164 240 242	846251207058
STPT(10)	2506448566973437811	0 2 6 8 48 50 90 92 96 98	1313975297160
SPT(16)	2506448624081369483	0 14 20 68 116 140 158 174 200 216 234 258 306 354 360 374	1371083228832