Prime p₀= 2309901010578257849 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2309898653441427473	0 14 50 54 120 176 234 276 374 416 474 530 596 600 636 650	-2357136830376
STPT(10)	2309899010642476607	0 2 12 14 72 74 132 134 144 146	-1999935781242
SPT(16)	2309899150634383667	0 2 30 140 144 156 162 176 240 254 260 272 276 386 414 416	-1859943874182
STPT(10)	2309899573456720541	0 2 6 8 18 20 30 32 36 38	-1437121537308
SPT(16)	2309899923697832101	0 18 30 108 180 202 220 226 252 258 276 298 370 448 460 478	-1086880425748
STPT(10)	2309900385387444797	0 2 54 56 192 194 330 332 384 386	-625190813052
SPT(16)	2309901624715482661	0 28 30 58 66 70 90 106 120 136 156 160 168 196 198 226	614137224812
STPT(10)	2309901997521869591	0 2 36 38 78 80 120 122 156 158	986943611742
TPT(14)	2309902524755696447	0 2 150 152 234 236 360 362 384 386 420 422 462 464	1514177438598
SPT(16)	2309902877754564277	0 16 34 64 66 70 76 84 232 240 246 250 252 282 300 316	1867176306428
SPT(16)	2309902915038394573	0 6 24 108 118 156 178 196 198 216 238 276 286 370 388 394	1904460136724