Prime p₀= 1078779067228197077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: suriv
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1078778655927467711	0 42 86 102 206 210 216 228 380 392 398 402 506 522 566 608	-411300729366
SPT(16)	1078778824373592313	0 6 30 88 144 196 210 214 240 244 258 310 366 424 448 454	-242854604764
STPT(10)	1078778856517115099	0 2 12 14 150 152 288 290 300 302	-210711081978
STPT(10)	1078778856971027657	0 2 30 32 42 44 54 56 84 86	-210257169420
STPT(10)	1078778863216571849	0 2 12 14 90 92 168 170 180 182	-204011625228
TPT(14)	1078779036100554779	0 2 48 50 90 92 132 134 168 170 312 314 378 380	-31127642298
TPT(14)	1078779955816114001	0 2 6 8 30 32 48 50 168 170 336 338 396 398	888587916924
STPT(12)	1078780069031074481	0 2 36 38 66 68 210 212 240 242 276 278	1001802877404
SPT(16)	1078781069015299817	0 14 32 72 126 186 230 270 296 336 380 440 494 534 552 566	2001787102740
SPT(16)	1078781303547187607	0 2 6 24 96 134 176 180 206 210 252 290 362 380 384 386	2236318990530
SPT(16)	1078781731754264171	0 8 60 98 110 116 162 168 230 236 282 288 300 338 390 398	2664526067094