Prime p₀= 2266971268519658639 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Orange Kid
db: batch=81, k=10, 2 76 2 40 2

SPT(16)	2266970174624370767	0 30 62 74 80 84 114 126 230 242 272 276 282 294 326 356	-1093895287872
SPT(16)	2266971067976361451	0 6 18 52 96 108 126 138 160 172 190 202 246 280 292 298	-200543297188
SPT(16)	2266971125301343183	0 16 30 76 144 150 184 186 244 246 280 286 354 400 414 430	-143218315456
STPT(10)	2266971228726961439	0 2 12 14 90 92 168 170 180 182	-39792697200
STPT(10)	2266971267720146717	0 2 30 32 72 74 114 116 144 146	-799511922
SPT(16)	2266971268165244129	0 32 68 132 150 164 192 194 228 230 258 272 290 354 390 422	-354414510
SPT(13)	2266971343628577787	0 42 60 90 102 180 216 252 330 342 372 390 432	75108919148
SPT(16)	2266971959647008377	0 2 24 56 86 102 122 126 140 144 164 180 210 242 264 266	691127349738
STPT(10)	2266972435285700447	0 2 30 32 42 44 54 56 84 86	1166766041808
SPT(16)	2266972466096902567	0 6 12 54 196 210 216 234 262 280 286 300 442 484 490 496	1197577243928
STPT(10)	2266972551064119707	0 2 30 32 42 44 54 56 84 86	1282544461068