Prime p₀= 2792078914752176237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Roadranner
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2792077281878760643	0 36 94 106 126 130 166 190 210 234 270 274 294 306 364 400	-1632873415594
SPT(16)	2792077368015470189	0 32 50 74 92 114 134 140 174 180 200 222 240 264 282 314	-1546736706048
SPT(16)	2792077492357204309	0 4 34 48 84 100 130 144 208 222 252 268 304 318 348 352	-1422394971928
STPT(10)	2792077666162823537	0 2 90 92 102 104 114 116 204 206	-1248589352700
SPT(16)	2792078035944589661	0 20 36 38 48 66 78 90 98 110 122 140 150 152 168 188	-878807586576
SPT(16)	2792078533435973113	0 16 66 78 106 124 180 226 258 304 360 378 406 418 468 484	-381316203124
SPT(16)	2792078985538893139	0 34 40 42 108 112 118 168 244 294 300 304 370 372 378 412	70786716902
STPT(10)	2792079115225995071	0 2 120 122 138 140 156 158 276 278	200473818834
STPT(10)	2792079798994099457	0 2 30 32 42 44 54 56 84 86	884241923220
STPT(10)	2792079814286828627	0 2 42 44 72 74 102 104 144 146	899534652390
STPT(10)	2792079840497117081	0 2 6 8 18 20 30 32 36 38	925744940844