Prime p₀= 2864712167712302819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2864711109684924541	0 48 52 72 82 90 108 132 136 160 178 186 196 216 220 268	-1058027378278
SPT(16)	2864711360899725497	0 24 42 72 84 90 140 150 206 216 266 272 284 314 332 356	-806812577322
STPT(10)	2864711405164389827	0 2 12 14 72 74 132 134 144 146	-762547912992
STPT(10)	2864711678070773519	0 2 18 20 30 32 42 44 60 62	-489641529300
STPT(10)	2864711876777559437	0 2 30 32 72 74 114 116 144 146	-290934743382
STPT(10)	2864711989476750779	0 2 42 44 60 62 78 80 120 122	-178235552040
SPT(16)	2864712555128825749	0 18 22 34 64 90 130 132 190 192 232 258 288 300 304 322	387416522930
STPT(10)	2864712574948104677	0 2 24 26 42 44 60 62 84 86	407235801858
STPT(10)	2864713159189214087	0 2 30 32 42 44 54 56 84 86	991476911268
SPT(16)	2864713225097440867	0 16 24 52 112 120 156 210 226 280 316 324 384 412 420 436	1057385138048
STPT(10)	2864713802048401739	0 2 42 44 60 62 78 80 120 122	1634336098920