Prime p₀= 2353781210729789717 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: suriv
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2353779834435811907	0 2 30 32 72 74 114 116 144 146	-1376293977810
STPT(10)	2353780046527805711	0 2 6 8 48 50 90 92 96 98	-1164201984006
SPT(16)	2353780812293275801	0 28 42 72 90 100 112 118 210 216 228 238 256 286 300 328	-398436513916
SPT(16)	2353781021315832037	0 34 72 114 124 142 166 174 262 270 294 312 322 364 402 436	-189413957680
STPT(12)	2353781102160955847	0 2 30 32 42 44 132 134 144 146 174 176	-108568833870
TPT(14)	2353781176979810909	0 2 78 80 102 104 168 170 270 272 288 290 378 380	-33749978808
STPT(10)	2353781643584083379	0 2 18 20 60 62 102 104 120 122	432854293662
STPT(10)	2353781740291158377	0 2 54 56 72 74 90 92 144 146	529561368660
SPT(16)	2353781804792101679	0 32 48 78 120 144 150 162 230 242 248 272 314 344 360 392	594062311962
SPT(16)	2353781832579712169	0 110 120 140 174 188 218 224 258 264 294 308 342 362 372 482	621849922452
SPT(16)	2353781835604846919	0 32 48 62 128 158 194 198 224 228 264 294 360 374 390 422	624875057202