Prime p₀= 2168338259092591667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Penguin
db: batch=81, k=10, 2 40 2 28 2

STPT(10)	2168337249227401409	0 2 78 80 210 212 342 344 420 422	-1009865190258
STPT(10)	2168337261753972719	0 2 12 14 90 92 168 170 180 182	-997338618948
SPT(16)	2168337652053312811	0 42 58 100 108 168 180 208 222 250 262 322 330 372 388 430	-607039278856
SPT(18)	2168337898991327417	0 14 54 56 90 110 132 144 156 200 212 224 246 266 300 302 342 356	-360101264250
SPT(16)	2168338011896292911	0 8 12 36 42 90 96 146 252 302 308 356 362 386 390 398	-247196298756
SPT(16)	2168338054819945933	0 84 114 126 138 198 214 270 304 360 376 436 448 460 490 574	-204272645734
SPT(16)	2168338501563998861	0 6 26 30 60 66 80 86 126 132 146 152 182 186 206 212	242471407194
STPT(10)	2168338595672913029	0 2 42 44 60 62 78 80 120 122	336580321362
STPT(10)	2168338808262920897	0 2 84 86 162 164 240 242 324 326	549170329230
STPT(10)	2168338822746878519	0 2 48 50 90 92 132 134 180 182	563654286852
STPT(10)	2168338898081707361	0 2 6 8 48 50 90 92 96 98	638989115694