Prime p₀= 2112938577361400807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2112937024972133627	0 26 66 102 122 156 170 180 212 222 236 270 290 326 366 392	-1552389267180
SPT(16)	2112937097023029481	0 102 150 166 196 270 276 282 376 382 388 462 492 508 556 658	-1480338371326
SPT(16)	2112937128049612427	0 6 12 14 54 56 62 80 96 114 120 122 162 164 170 176	-1449311788380
SPT(16)	2112937350236189221	0 42 76 106 160 216 226 232 246 252 262 318 372 402 436 478	-1227125211586
STPT(10)	2112937637202162467	0 2 30 32 72 74 114 116 144 146	-940159238340
SPT(16)	2112937911162561443	0 50 86 120 126 140 146 158 186 198 204 218 224 258 294 344	-666198839364
SPT(16)	2112938605337174759	0 8 42 48 78 104 114 132 170 188 198 224 254 260 294 302	27975773952
SPT(16)	2112938711054394281	0 18 38 50 80 168 188 192 266 270 290 378 408 420 440 458	133692993474
STPT(10)	2112938865537551789	0 2 48 50 90 92 132 134 180 182	288176150982
STPT(10)	2112938915065567859	0 2 48 50 90 92 132 134 180 182	337704167052
STPT(12)	2112939208855820069	0 2 18 20 30 32 60 62 72 74 90 92	631494419262