Prime p₀= 2507727742789070717 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2507727270062777177	0 20 44 60 62 114 140 150 164 174 200 252 254 270 294 314	-472726293540
STPT(10)	2507727290793941927	0 2 42 44 72 74 102 104 144 146	-451995128790
SPT(16)	2507727433264008323	0 14 156 168 170 174 198 210 224 236 260 264 266 278 420 434	-309525062394
SPT(16)	2507727633201066011	0 2 38 42 80 86 102 140 168 206 222 228 266 270 306 308	-109588004706
TPT(14)	2507727651340524449	0 2 12 14 180 182 258 260 282 284 342 344 420 422	-91448546268
SPT(16)	2507727692319022583	0 68 78 116 138 176 218 260 264 306 348 386 408 446 456 524	-50470048134
SPT(16)	2507727870452849477	0 30 80 90 110 156 212 236 270 294 350 396 416 426 476 506	127663778760
SPT(16)	2507727889489120651	0 12 52 66 78 106 136 160 168 192 222 250 262 276 316 328	146700049934
SPT(16)	2507728140462746359	0 78 114 142 144 174 190 198 244 252 268 298 300 328 364 442	397673675642
STPT(10)	2507728407085952759	0 2 18 20 60 62 102 104 120 122	664296882042
SPT(16)	2507728703976399847	0 16 84 94 132 142 216 240 346 370 444 454 492 502 570 586	961187329130