Prime p₀= 2124507413219273387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2124506132521465919	0 2 14 92 102 108 144 150 182 188 224 230 240 318 330 332	-1280697807468
SPT(18)	2124506219246935361	0 90 96 102 122 132 158 188 216 242 270 300 326 336 356 362 368 458	-1193972338026
STPT(10)	2124506484598366019	0 2 48 50 90 92 132 134 180 182	-928620907368
SPT(16)	2124506541097538069	0 30 38 44 54 108 114 138 140 164 170 224 234 240 248 278	-872121735318
STPT(10)	2124507107983427267	0 2 90 92 102 104 114 116 204 206	-305235846120
SPT(16)	2124507133122678389	0 12 38 50 78 138 152 164 198 210 224 284 312 324 350 362	-280096594998
SPT(16)	2124507702331804871	0 42 72 78 86 110 146 152 156 162 198 222 230 236 266 308	289112531484
SPT(16)	2124507781591073159	0 8 68 78 98 150 158 164 198 204 212 264 284 294 354 362	368371799772
STPT(10)	2124507903940274777	0 2 12 14 42 44 72 74 84 86	490721001390
STPT(10)	2124508446609263591	0 2 30 32 60 62 90 92 120 122	1033389990204
SPT(16)	2124508456507760221	0 66 70 78 100 108 120 148 198 226 238 246 268 276 280 346	1043288486834