Prime p₀= 2555404263436890791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Time_Traveler
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2555403286621620509	0 20 44 62 68 78 84 90 92 98 104 114 120 138 162 182	-976815270282
STPT(10)	2555403413616593789	0 2 18 20 30 32 42 44 60 62	-849820297002
SPT(16)	2555403627599755057	0 12 42 112 126 210 256 262 294 300 346 430 444 514 544 556	-635837135734
SPT(16)	2555403845657934809	0 62 108 150 152 180 182 240 290 348 350 378 380 422 468 530	-417778955982
SPT(16)	2555404063799843413	0 36 40 54 70 84 106 114 166 174 196 210 226 240 244 280	-199637047378
TPT(14)	2555404201755068141	0 2 36 38 60 62 78 80 126 128 186 188 210 212	-61681822650
SPT(16)	2555404411545756943	0 28 54 78 100 106 130 154 240 264 288 294 316 340 366 394	148108866152
SPT(16)	2555404866468571297	0 4 6 12 22 60 64 66 190 192 196 234 244 250 252 256	603031680506
STPT(10)	2555405343185296487	0 2 12 14 42 44 72 74 84 86	1079748405696
SPT(16)	2555405657233674967	0 24 46 52 72 94 120 150 226 256 282 304 324 330 352 376	1393796784176
STPT(10)	2555405851438747091	0 2 36 38 78 80 120 122 156 158	1588001856300