Prime p₀= 2569547678312044277 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2569546403021204821	0 16 48 70 82 96 112 118 120 126 142 156 168 190 222 238	-1275290839456
SPT(18)	2569546524778324331	0 8 60 66 78 140 158 168 186 230 248 258 276 338 350 356 408 416	-1153533719946
STPT(10)	2569546845545437739	0 2 18 20 60 62 102 104 120 122	-832766606538
SPT(16)	2569547328533836477	0 30 46 120 144 154 156 232 234 310 312 322 346 420 436 466	-349778207800
SPT(16)	2569547395164910921	0 12 40 60 66 78 120 148 150 178 220 232 238 258 286 298	-283147133356
SPT(16)	2569547580833190569	0 8 20 30 62 134 170 182 210 222 258 330 362 372 384 392	-97478853708
STPT(10)	2569547876755479419	0 2 48 50 60 62 72 74 120 122	198443435142
SPT(20)	2569548325440140221	0 16 28 78 102 112 130 168 172 190 198 216 220 258 276 286 310 360 372 388	647128095944
SPT(16)	2569548392699486843	0 8 68 116 144 186 204 228 386 410 428 470 498 546 606 614	714387442566
TPT(14)	2569548451296888989	0 2 12 14 30 32 42 44 90 92 102 104 132 134	772984844712
STPT(10)	2569549152907359317	0 2 30 32 60 62 90 92 120 122	1474595315040