Prime p₀= 2678623261954038569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2678620701172525397	0 84 134 162 170 176 224 266 270 312 360 366 374 402 452 536	-2560781513172
SPT(16)	2678621414622098053	0 10 36 66 166 168 196 246 268 318 346 348 448 478 504 514	-1847331940516
STPT(10)	2678621880131687261	0 2 36 38 78 80 120 122 156 158	-1381822351308
SPT(16)	2678621926620862231	0 48 60 70 136 210 216 240 298 322 328 402 468 478 490 538	-1335333176338
STPT(10)	2678622735951051941	0 2 6 8 18 20 30 32 36 38	-526002986628
SPT(16)	2678622841084568479	0 10 12 70 78 112 148 160 252 264 300 334 342 400 402 412	-420869470090
STPT(10)	2678623359945723899	0 2 18 20 60 62 102 104 120 122	97991685330
SPT(16)	2678623503385687223	0 20 48 108 116 144 158 254 270 366 380 408 416 476 504 524	241431648654
STPT(10)	2678623560885141941	0 2 30 32 78 80 126 128 156 158	298931103372
SPT(16)	2678623844635049111	0 6 8 42 48 72 78 98 120 140 146 170 176 210 212 218	582681010542
SPT(16)	2678623916389419839	0 8 38 68 102 122 152 162 200 210 240 260 294 324 354 362	654435381270