Prime p₀= 2350775524584583277 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: Time_Traveler
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2350774772114970371	0 2 30 32 60 62 78 80 186 188 216 218 288 290	-752469612906
SPT(16)	2350774846904805163	0 6 36 58 100 108 118 138 178 198 208 216 258 280 310 316	-677679778114
SPT(16)	2350774850206949923	0 28 30 54 78 130 136 154 180 198 204 256 280 304 306 334	-674377633354
SPT(16)	2350774884163859831	0 6 18 32 98 116 140 152 186 198 222 240 306 320 332 338	-640420723446
STPT(12)	2350775445012765299	0 2 12 14 18 20 42 44 48 50 60 62	-79571817978
SPT(16)	2350775509726448117	0 20 62 66 80 120 122 164 312 354 356 396 410 414 456 476	-14858135160
SPT(16)	2350775621058954409	0 112 150 190 220 232 258 294 298 334 360 372 402 442 480 592	96474371132
STPT(10)	2350775963066259161	0 2 66 68 138 140 210 212 276 278	438481675884
STPT(10)	2350776006637717829	0 2 42 44 60 62 78 80 120 122	482053134552
STPT(10)	2350776058960626431	0 2 36 38 78 80 120 122 156 158	534376043154
SPT(16)	2350776366152761409	0 2 18 42 102 104 114 134 168 188 198 200 260 284 300 302	841568178132