Prime p₀= 2355629463546898829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2355627613680725689	0 4 34 40 64 84 114 142 270 298 328 348 372 378 408 412	-1849866173140
STPT(10)	2355627713763414887	0 2 30 32 42 44 54 56 84 86	-1749783483942
STPT(10)	2355628158602048381	0 2 6 8 18 20 30 32 36 38	-1304944850448
SPT(16)	2355628654233223657	0 10 16 100 166 190 234 264 292 322 366 390 456 540 546 556	-809313675172
SPT(16)	2355628807455171763	0 34 100 118 138 144 168 210 214 256 280 286 306 324 390 424	-656091727066
STPT(10)	2355629043095342549	0 2 108 110 150 152 192 194 300 302	-420451556280
SPT(18)	2355629555303109961	0 16 42 100 142 148 168 196 198 220 222 250 270 276 318 376 402 418	91756211132
TPT(14)	2355629697299900141	0 2 96 98 108 110 126 128 150 152 240 242 378 380	233753001312
TPT(14)	2355629898379743899	0 2 12 14 60 62 102 104 138 140 198 200 222 224	434832845070
SPT(16)	2355630861998093453	0 44 48 140 170 174 198 210 218 230 254 258 288 380 384 428	1398451194624
STPT(10)	2355631030909629827	0 2 54 56 72 74 90 92 144 146	1567362730998