Prime p₀= 2156262480981994577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: Rantanplan
db: batch=81, k=10, 2 10 2 118 2

SPT(16)	2156261640252502021	0 22 40 96 130 162 198 228 250 280 316 348 382 438 456 478	-840729492556
STPT(12)	2156261902598378759	0 2 18 20 30 32 60 62 72 74 90 92	-578383615818
SPT(16)	2156261938152057187	0 4 36 72 130 160 190 240 286 336 366 396 454 490 522 526	-542829937390
SPT(16)	2156262011835319039	0 18 28 40 42 70 72 108 172 208 210 238 240 252 262 280	-469146675538
SPT(16)	2156262102026222023	0 60 96 114 120 130 186 210 250 274 330 340 346 364 400 460	-378955772554
TPT(14)	2156262357135727121	0 2 66 68 138 140 156 158 180 182 240 242 318 320	-123846267456
SPT(16)	2156262617793871547	0 2 6 20 42 72 74 102 104 132 134 164 186 200 204 206	136811876970
STPT(10)	2156263236244488989	0 2 48 50 60 62 72 74 120 122	755262494412
STPT(10)	2156263314529096271	0 2 36 38 78 80 120 122 156 158	833547101694
STPT(10)	2156263518676639157	0 2 30 32 60 62 90 92 120 122	1037694644580
SPT(16)	2156263617720587371	0 16 40 78 90 120 192 258 310 376 448 478 490 528 552 568	1136738592794