Prime p₀= 1411122935172322217 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: rlacr
db: batch=78, k=10, 2 22 2 16 2

STPT(10)	1411122376903247999	0 2 48 50 90 92 132 134 180 182	-558269074218
STPT(10)	1411122446769135647	0 2 30 32 42 44 54 56 84 86	-488403186570
STPT(10)	1411122506581577861	0 2 36 38 78 80 120 122 156 158	-428590744356
STPT(10)	1411122584215983839	0 2 12 14 90 92 168 170 180 182	-350956338378
SPT(16)	1411122769493920097	0 6 30 62 66 146 174 194 252 272 300 380 384 416 440 446	-165678402120
SPT(16)	1411122831336896893	0 18 28 76 78 88 90 96 160 166 168 178 180 228 238 256	-103835425324
SPT(13)	1411123062130679171	0 30 66 72 96 102 126 150 156 180 186 222 252	126958356954
STPT(10)	1411123200622509107	0 2 30 32 42 44 54 56 84 86	265450186890
SPT(16)	1411123420096044947	0 42 56 90 92 110 122 152 204 234 246 264 266 300 314 356	484923722730
SPT(20)	1411123590410589719	0 2 32 54 108 114 132 144 164 192 230 258 278 290 308 314 368 390 420 422	655238267502
SPT(16)	1411123645935405529	0 4 28 40 54 58 108 130 162 184 234 238 252 264 288 292	710763083312