Prime p₀= 1415022356947089437 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: Theadalus
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1415020908833471483	0 120 126 164 168 188 228 230 264 266 306 326 330 368 374 494	-1448113617954
SPT(16)	1415020994583997201	0 16 22 58 108 126 130 148 150 168 172 190 240 276 282 298	-1362363092236
SPT(20)	1415021381061783673	0 28 126 136 166 184 208 210 324 330 364 370 484 486 510 528 558 568 666 694	-975885305764
SPT(16)	1415021682663792061	0 28 46 82 126 132 160 196 222 258 286 292 336 372 390 418	-674283297376
STPT(10)	1415021782331647949	0 2 18 20 30 32 42 44 60 62	-574615441488
SPT(16)	1415021795332882277	0 14 36 50 56 60 90 92 114 116 146 150 156 170 192 206	-561614207160
STPT(10)	1415022407944488557	0 2 30 32 42 44 54 56 84 86	50997399120
SPT(16)	1415022561796173493	0 10 66 70 78 88 100 130 174 204 216 226 234 238 294 304	204849084056
TPT(14)	1415022754536481841	0 2 36 38 186 188 216 218 240 242 396 398 408 410	397589392404
SPT(16)	1415022768463083497	0 72 120 146 182 186 212 240 356 384 410 414 450 476 524 596	411515994060
SPT(18)	1415022803099946841	0 22 28 40 48 72 118 138 198 202 262 282 328 352 360 372 378 400	446152857404