Prime p₀= 2565124882106456627 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

STPT(10)	2565123531667585697	0 2 54 56 72 74 90 92 144 146	-1350438870930
TPT(14)	2565123785766759209	0 2 198 200 222 224 312 314 390 392 408 410 432 434	-1096339697418
SPT(16)	2565124066946519293	0 10 34 88 94 144 174 270 304 400 430 480 486 540 564 574	-815159937334
SPT(16)	2565124223391956357	0 24 80 104 132 134 150 182 252 284 300 302 330 354 410 434	-658714500270
STPT(10)	2565124532156913227	0 2 54 56 72 74 90 92 144 146	-349949543400
SPT(16)	2565124851109739747	0 2 14 36 54 72 80 86 90 96 104 122 140 162 174 176	-30996716880
SPT(16)	2565125369411025451	0 16 72 78 90 106 118 120 238 240 252 268 280 286 342 358	487304568824
SPT(16)	2565125400639429193	0 10 24 40 114 144 154 178 186 210 220 250 324 340 354 364	518532972566
STPT(10)	2565125577311750249	0 2 18 20 30 32 42 44 60 62	695205293622
SPT(16)	2565126077264685971	0 2 38 60 116 168 170 192 296 318 320 372 428 450 486 488	1195158229344
STPT(10)	2565126141901581227	0 2 30 32 72 74 114 116 144 146	1259795124600