Prime p₀= 2501671664406367667 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2501670297302045039	0 2 18 20 30 32 42 44 60 62	-1367104322628
SPT(20)	2501670407669851259	0 18 20 72 74 108 140 164 174 212 270 308 318 342 374 408 410 462 464 482	-1256736516408
STPT(10)	2501670846085216319	0 2 48 50 90 92 132 134 180 182	-818321151348
TPT(14)	2501670977864082719	0 2 132 134 162 164 168 170 198 200 210 212 270 272	-686542284948
SPT(16)	2501671276476921259	0 28 42 90 130 168 184 190 222 228 244 282 322 370 384 412	-387929446408
SPT(16)	2501671413663090551	0 80 102 122 128 150 158 176 192 210 218 240 246 266 288 368	-250743277116
STPT(10)	2501671798118554727	0 2 30 32 42 44 54 56 84 86	133712187060
SPT(16)	2501672123105802109	0 22 52 102 108 114 124 138 154 168 178 184 190 240 270 292	458699434442
STPT(10)	2501672293443885899	0 2 78 80 120 122 162 164 240 242	629037518232
STPT(10)	2501672429622408587	0 2 30 32 42 44 54 56 84 86	765216040920
SPT(16)	2501672641399780087	0 12 16 24 70 72 114 136 270 292 334 336 382 390 394 406	976993412420