Prime p₀= 2161997879603376317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2161997097022453403	0 26 38 60 146 198 248 258 416 426 476 528 614 636 648 674	-782580922914
SPT(16)	2161997216629960481	0 48 50 66 78 98 158 162 356 360 420 440 452 468 470 518	-662973415836
STPT(10)	2161997276365911557	0 2 60 62 72 74 84 86 144 146	-603237464760
TPT(14)	2161997437905396029	0 2 30 32 108 110 120 122 180 182 198 200 210 212	-441697980288
SPT(16)	2161997523776102983	0 6 18 34 60 70 78 90 124 136 144 154 180 196 208 214	-355827273334
SPT(16)	2161997555211461483	0 50 80 116 120 150 194 216 278 300 344 374 378 414 444 494	-324391914834
TPT(14)	2161998439913530331	0 2 36 38 126 128 150 152 198 200 240 242 318 320	560310154014
STPT(10)	2161998444811591829	0 2 42 44 60 62 78 80 120 122	565208215512
STPT(10)	2161998706383215879	0 2 12 14 90 92 168 170 180 182	826779839562
SPT(16)	2161998948351270269	0 62 80 90 98 114 128 180 182 234 248 264 272 282 300 362	1068747893952
STPT(10)	2161999322911513367	0 2 84 86 102 104 120 122 204 206	1443308137050