Prime p₀= 967332075413591981 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: Theadalus
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	967330881377651047	0 34 36 54 64 66 112 124 132 144 190 192 202 220 222 256	-1194035940934
SPT(16)	967330896223657001	0 32 36 80 86 156 192 210 278 296 332 402 408 452 456 488	-1179189934980
SPT(18)	967331102266452739	0 22 28 48 54 88 90 138 190 222 274 322 324 358 364 384 390 412	-973147139242
STPT(10)	967331265528519719	0 2 42 44 60 62 78 80 120 122	-809885072262
STPT(10)	967331692212613757	0 2 12 14 42 44 72 74 84 86	-383200978224
STPT(10)	967331933336399051	0 2 36 38 78 80 120 122 156 158	-142077192930
SPT(16)	967332238487265493	0 10 64 78 84 124 138 154 174 190 204 244 250 264 318 328	163073673512
SPT(18)	967332576866493823	0 6 58 90 108 118 160 220 234 310 324 384 426 436 454 486 538 544	501452901842
STPT(10)	967332602643956357	0 2 54 56 72 74 90 92 144 146	527230364376
SPT(16)	967332680667489439	0 18 70 102 132 142 162 210 262 310 330 340 370 402 454 472	605253897458
TPT(14)	967332716790787307	0 2 30 32 72 74 174 176 204 206 270 272 312 314	641377195326