Prime p₀= 2496768977381554217 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2496767938293576139	0 34 48 100 118 132 142 180 262 300 310 324 342 394 408 442	-1039087978078
SPT(16)	2496768276771923923	0 6 16 30 40 48 118 126 130 138 208 216 226 240 250 256	-700609630294
SPT(16)	2496768356612553299	0 42 92 194 278 308 320 342 380 402 414 444 528 630 680 722	-620769000918
TPT(14)	2496768358077607811	0 2 30 32 66 68 96 98 108 110 168 170 240 242	-619303946406
SPT(16)	2496768371265622907	0 24 104 200 216 234 242 264 272 294 302 320 336 432 512 536	-606115931310
SPT(16)	2496768493066409339	0 60 84 98 120 170 180 194 228 242 252 302 324 338 362 422	-484315144878
STPT(10)	2496769086847862051	0 2 36 38 78 80 120 122 156 158	109466307834
TPT(14)	2496769193942211701	0 2 36 38 60 62 78 80 120 122 210 212 300 302	216560657484
SPT(16)	2496769320842973019	0 4 18 28 42 48 54 82 120 148 154 160 174 184 198 202	343461418802
STPT(10)	2496769635422450207	0 2 30 32 42 44 54 56 84 86	658040895990
SPT(16)	2496770301856070029	0 10 18 28 40 60 84 144 208 268 292 312 324 334 342 352	1324474515812