Prime p₀= 2159907463442835311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2159906481016114261	0 16 30 36 70 82 90 106 132 148 156 168 202 208 222 238	-982426721050
TPT(14)	2159906792143632317	0 2 30 32 60 62 84 86 90 92 294 296 354 356	-671299202994
STPT(12)	2159906880221477159	0 2 12 14 42 44 48 50 78 80 90 92	-583221358152
SPT(16)	2159906934458707573	0 58 60 76 100 126 198 208 216 226 298 324 348 364 366 424	-528984127738
STPT(10)	2159906961458307029	0 2 12 14 90 92 168 170 180 182	-501984528282
STPT(10)	2159907275905887647	0 2 12 14 42 44 72 74 84 86	-187536947664
STPT(12)	2159907464857938527	0 2 42 44 84 86 90 92 132 134 174 176	1415103216
SPT(16)	2159907469478370481	0 22 108 130 192 202 238 268 372 402 438 448 510 532 618 640	6035535170
SPT(18)	2159907487146368717	0 20 36 42 66 72 86 92 102 104 114 120 134 140 164 170 186 206	23703533406
SPT(16)	2159907487229067319	0 30 100 162 172 178 214 234 238 258 294 300 310 372 442 472	23786232008
TPT(16)	2159907713676550991	0 2 30 32 60 62 96 98 108 110 126 128 138 140 156 158	250233715680