Prime p₀= 2374961355217723187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JonS
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2374959720102594421	0 30 40 58 70 82 96 102 166 172 186 198 210 228 238 268	-1635115128766
STPT(10)	2374959835870299659	0 2 18 20 60 62 102 104 120 122	-1519347423528
SPT(13)	2374960120111077167	0 30 36 54 60 96 120 144 180 186 204 210 240	-1235106646020
SPT(16)	2374960399060754249	0 12 38 84 114 120 122 138 164 180 182 188 218 264 290 302	-956156968938
SPT(16)	2374960435201144517	0 20 62 80 84 102 104 140 276 312 314 332 336 354 396 416	-920016578670
SPT(16)	2374960481488783283	0 6 18 56 156 186 210 260 264 314 338 368 468 506 518 524	-873728939904
TPT(14)	2374961499893969681	0 2 30 32 48 50 60 62 78 80 90 92 156 158	144676246494
SPT(16)	2374961674121241677	0 50 66 72 114 156 192 266 330 404 440 482 524 530 546 596	318903518490
TPT(14)	2374961995455179561	0 2 30 32 156 158 186 188 366 368 390 392 420 422	640237456374
STPT(10)	2374962571087918751	0 2 30 32 60 62 90 92 120 122	1215870195564
SPT(16)	2374963062936253729	0 10 52 108 114 144 148 184 198 234 238 268 274 330 372 382	1707718530542