Prime p₀= 2322926372085654659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2322925021866331087	0 6 60 66 84 90 106 130 150 174 190 196 214 220 274 280	-1350219323572
SPT(16)	2322925292429540983	0 4 66 70 106 160 184 198 316 330 354 408 444 448 510 514	-1079656113676
SPT(16)	2322925734464132893	0 40 64 78 120 124 208 264 274 330 414 418 460 474 498 538	-637621521766
STPT(10)	2322925850962755299	0 2 18 20 30 32 42 44 60 62	-521122899360
SPT(16)	2322925851530449787	0 6 24 42 72 90 140 146 150 156 206 224 254 272 290 296	-520555204872
SPT(16)	2322926356839463889	0 38 72 92 104 108 120 150 152 182 194 198 210 230 264 302	-15246190770
SPT(16)	2322926656624210957	0 34 42 52 64 102 112 126 130 144 154 192 204 214 222 256	284538556298
SPT(16)	2322927253690466021	0 2 26 30 36 60 68 92 96 120 128 152 158 162 186 188	881604811362
SPT(16)	2322928024591863797	0 42 54 96 104 174 194 212 234 252 272 342 350 392 404 446	1652506209138
STPT(10)	2322928105872148427	0 2 42 44 72 74 102 104 144 146	1733786493768
STPT(10)	2322928171736340401	0 2 30 32 78 80 126 128 156 158	1799650685742