Prime p₀= 2356869451304439959 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: arkiss
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2356868664644956711	0 90 166 172 208 222 238 252 286 300 316 330 366 372 448 538	-786659483248
SPT(16)	2356868742341378281	0 16 18 46 60 148 190 198 268 276 318 406 420 448 450 466	-708963061678
SPT(16)	2356869183183806989	0 10 12 40 42 60 78 88 144 154 172 190 192 220 222 232	-268120632970
SPT(16)	2356869225931070987	0 12 14 30 42 66 146 164 222 240 320 344 356 372 374 386	-225373368972
SPT(16)	2356869354189888823	0 6 28 48 120 130 154 160 174 180 204 214 286 306 328 334	-97114551136
TPT(14)	2356869430891915097	0 2 42 44 54 56 114 116 174 176 210 212 270 272	-20412524862
SPT(16)	2356869620047099207	0 4 12 52 70 84 102 166 240 304 322 336 354 394 402 406	168742659248
STPT(10)	2356869849743026997	0 2 30 32 42 44 54 56 84 86	398438587038
STPT(10)	2356870300838435267	0 2 12 14 72 74 132 134 144 146	849533995308
SPT(16)	2356871356036079081	0 2 30 56 62 66 72 90 122 140 146 150 156 182 210 212	1904731639122
STPT(10)	2356871365487656091	0 2 6 8 48 50 90 92 96 98	1914183216132