Prime p₀= 2623734124574769551 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JohnMD
db: batch=82, k=10, 2 34 2 40 2

STPT(10)	2623732532887149977	0 2 42 44 72 74 102 104 144 146	-1591687619574
SPT(16)	2623732558235581211	0 6 72 90 108 110 128 132 146 150 168 170 188 206 272 278	-1566339188340
SPT(16)	2623732624546213967	0 56 62 72 114 204 222 230 246 254 272 362 404 414 420 476	-1500028555584
SPT(16)	2623732777461695909	0 14 18 84 92 140 158 182 210 234 252 300 308 374 378 392	-1347113073642
TPT(14)	2623732830737432369	0 2 132 134 180 182 312 314 480 482 558 560 588 590	-1293837337182
STPT(10)	2623733422238001179	0 2 78 80 120 122 162 164 240 242	-702336768372
STPT(10)	2623734169513680269	0 2 12 14 90 92 168 170 180 182	44938910718
SPT(16)	2623734305019420233	0 18 120 134 200 216 236 266 348 378 398 414 480 494 596 614	180444650682
SPT(16)	2623734829540046693	0 84 98 104 146 174 198 216 338 356 380 408 450 456 470 554	704965277142
TPT(14)	2623734834410832731	0 2 66 68 78 80 96 98 120 122 156 158 210 212	709836063180
SPT(16)	2623734919480514459	0 20 32 48 50 72 90 120 152 182 200 222 224 240 252 272	794905744908