Prime p₀= 2676404529745039307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2676402807024158449	0 12 94 102 112 178 198 210 352 364 384 450 460 468 550 562	-1722720880858
STPT(10)	2676403234307038697	0 2 24 26 42 44 60 62 84 86	-1295438000610
SPT(16)	2676403504870994489	0 12 42 54 68 90 140 174 188 222 272 294 308 320 350 362	-1024874044818
STPT(10)	2676403986413428091	0 2 6 8 18 20 30 32 36 38	-543331611216
SPT(16)	2676404083226308243	0 18 30 78 96 120 124 156 298 330 334 358 376 424 436 454	-446518731064
SPT(16)	2676404143086435493	0 6 30 78 90 96 118 138 316 336 358 364 376 424 448 454	-386658603814
STPT(10)	2676404598054910157	0 2 30 32 42 44 54 56 84 86	68309870850
SPT(16)	2676405066436427401	0 40 78 88 106 126 136 180 286 330 340 360 378 388 426 466	536691388094
SPT(16)	2676405417677154913	0 36 58 66 120 126 168 198 226 256 298 304 358 366 388 424	887932115606
STPT(10)	2676405766034810837	0 2 30 32 42 44 54 56 84 86	1236289771530
STPT(10)	2676406767993457307	0 2 30 32 42 44 54 56 84 86	2238248418000