Prime p₀= 2268146951049755297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2268144822794956153	0 10 28 34 54 94 124 130 138 144 174 214 234 240 258 268	-2128254799144
TPT(14)	2268144906036142409	0 2 90 92 210 212 288 290 378 380 402 404 462 464	-2045013612888
STPT(10)	2268145285455557447	0 2 30 32 120 122 210 212 240 242	-1665594197850
SPT(16)	2268145383062638991	0 2 6 20 30 86 108 116 132 140 162 218 228 242 246 248	-1567987116306
SPT(16)	2268145837576251407	0 14 56 66 120 140 246 276 320 350 456 476 530 540 582 596	-1113473503890
SPT(16)	2268146045974334777	0 6 20 32 66 72 140 170 186 216 284 290 324 336 350 356	-905075420520
SPT(16)	2268146997091349273	0 30 56 60 86 98 128 144 170 186 216 228 254 258 284 314	46041593976
STPT(10)	2268147213005868749	0 2 18 20 60 62 102 104 120 122	261956113452
STPT(10)	2268147387146029547	0 2 30 32 72 74 114 116 144 146	436096274250
SPT(16)	2268147605685044227	0 30 36 102 112 126 184 190 336 342 400 414 424 490 496 526	654635288930
STPT(10)	2268147901365283097	0 2 30 32 42 44 54 56 84 86	950315527800