Prime p₀= 2356869849743026997 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: arkiss
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2356869183183806989	0 10 12 40 42 60 78 88 144 154 172 190 192 220 222 232	-666559220008
SPT(16)	2356869225931070987	0 12 14 30 42 66 146 164 222 240 320 344 356 372 374 386	-623811956010
SPT(16)	2356869354189888823	0 6 28 48 120 130 154 160 174 180 204 214 286 306 328 334	-495553138174
TPT(14)	2356869430891915097	0 2 42 44 54 56 114 116 174 176 210 212 270 272	-418851111900
STPT(10)	2356869451304439959	0 2 18 20 30 32 42 44 60 62	-398438587038
SPT(16)	2356869620047099207	0 4 12 52 70 84 102 166 240 304 322 336 354 394 402 406	-229695927790
STPT(10)	2356870300838435267	0 2 12 14 72 74 132 134 144 146	451095408270
SPT(16)	2356871356036079081	0 2 30 56 62 66 72 90 122 140 146 150 156 182 210 212	1506293052084
STPT(10)	2356871365487656091	0 2 6 8 48 50 90 92 96 98	1515744629094
SPT(16)	2356871449547828333	0 66 80 96 110 138 168 200 204 236 266 294 308 324 338 404	1599804801336
SPT(16)	2356871473659014159	0 2 42 128 150 152 158 180 212 234 240 242 264 350 390 392	1623915987162