Prime p₀= 2291875161456153197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2291874255742638067	0 4 12 34 40 64 112 132 154 174 222 246 252 274 282 286	-905713515130
STPT(10)	2291874447740323517	0 2 30 32 42 44 54 56 84 86	-713715829680
SPT(16)	2291874498134887403	0 20 36 66 78 84 114 126 128 140 170 176 188 218 234 254	-663321265794
SPT(16)	2291874594747652139	0 18 32 44 102 168 194 198 224 228 254 320 378 390 404 422	-566708501058
STPT(10)	2291874645806127647	0 2 42 44 72 74 102 104 144 146	-515650025550
TPT(14)	2291874882861325589	0 2 48 50 60 62 78 80 102 104 168 170 252 254	-278594827608
STPT(10)	2291875472580351809	0 2 48 50 90 92 132 134 180 182	311124198612
STPT(10)	2291875601563319657	0 2 54 56 72 74 90 92 144 146	440107166460
SPT(16)	2291875646795170589	0 24 84 108 194 234 278 282 290 294 338 378 464 488 548 572	485339017392
SPT(16)	2291875855006903621	0 42 58 60 70 78 112 232 288 408 442 450 460 462 478 520	693550750424
STPT(10)	2291876025140220677	0 2 12 14 72 74 132 134 144 146	863684067480