Prime p₀= 2923205282189780657 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: arkiss
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2923204342091715089	0 48 80 84 102 134 158 188 204 234 258 290 308 312 344 392	-940098065568
STPT(10)	2923204379290598057	0 2 12 14 72 74 132 134 144 146	-902899182600
SPT(16)	2923204463305496341	0 46 88 100 126 180 186 196 270 280 286 340 366 378 420 466	-818884284316
SPT(16)	2923204631817149347	0 22 24 30 70 76 90 100 126 136 150 156 196 202 204 226	-650372631310
STPT(10)	2923204815257570489	0 2 48 50 60 62 72 74 120 122	-466932210168
SPT(16)	2923204950968497277	0 24 66 132 134 140 146 164 192 210 216 222 224 290 332 356	-331221283380
SPT(16)	2923205391388077377	0 2 30 54 114 134 170 212 252 294 330 350 410 434 462 464	109198296720
SPT(16)	2923205679153107507	0 20 42 80 104 146 150 152 174 176 180 222 246 284 306 326	396963326850
STPT(10)	2923205910661974149	0 2 42 44 60 62 78 80 120 122	628472193492
SPT(16)	2923206052350589207	0 10 16 52 66 100 112 142 180 210 222 256 270 306 312 322	770160808550
STPT(10)	2923206385448027267	0 2 30 32 42 44 54 56 84 86	1103258246610