Prime p₀= 2374962571087918751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2374960435201144517	0 20 62 80 84 102 104 140 276 312 314 332 336 354 396 416	-2135886774234
SPT(16)	2374960481488783283	0 6 18 56 156 186 210 260 264 314 338 368 468 506 518 524	-2089599135468
STPT(10)	2374961355217723187	0 2 24 26 42 44 60 62 84 86	-1215870195564
TPT(14)	2374961499893969681	0 2 30 32 48 50 60 62 78 80 90 92 156 158	-1071193949070
SPT(16)	2374961674121241677	0 50 66 72 114 156 192 266 330 404 440 482 524 530 546 596	-896966677074
TPT(14)	2374961995455179561	0 2 30 32 156 158 186 188 366 368 390 392 420 422	-575632739190
SPT(16)	2374963062936253729	0 10 52 108 114 144 148 184 198 234 238 268 274 330 372 382	491848334978
SPT(16)	2374963608295565941	0 12 16 78 82 120 150 192 196 238 268 306 310 372 376 388	1037207647190
STPT(10)	2374963655010122717	0 2 30 32 72 74 114 116 144 146	1083922203966
STPT(10)	2374963765650078929	0 2 18 20 30 32 42 44 60 62	1194562160178
SPT(16)	2374963976198574589	0 52 70 82 100 112 148 220 222 294 330 342 360 372 390 442	1405110655838