Prime p₀= 1251109018016852549 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: HenkM
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1251107376529850239	0 58 60 138 148 168 180 210 268 298 310 330 340 418 420 478	-1641487002310
STPT(10)	1251107452526568587	0 2 30 32 42 44 54 56 84 86	-1565490283962
STPT(10)	1251107895182860469	0 2 18 20 30 32 42 44 60 62	-1122833992080
SPT(16)	1251108239906525491	0 12 72 88 108 130 168 196 252 280 318 340 360 376 436 448	-778110327058
SPT(16)	1251108895938024701	0 8 62 68 78 96 120 152 156 188 212 230 240 246 300 308	-122078827848
SPT(16)	1251108897391714211	0 6 32 56 60 90 110 126 152 168 188 218 222 246 272 278	-120625138338
SPT(16)	1251109030756423469	0 8 80 92 140 152 182 234 278 330 360 372 420 432 504 512	12739570920
SPT(20)	1251109119529394677	0 76 90 100 114 132 144 172 184 216 250 282 294 322 334 352 366 376 390 466	101512542128
SPT(16)	1251109305272454401	0 2 8 56 72 120 126 210 218 302 308 356 372 420 426 428	287255601852
STPT(10)	1251109702100217929	0 2 12 14 30 32 48 50 60 62	684083365380
SPT(16)	1251109882506811057	0 34 42 76 82 96 126 132 184 190 220 234 240 274 282 316	864489958508