Prime p₀= 2679637805224805597 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-2W]Kurzer
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2679634927764294347	0 2 12 14 42 44 72 74 84 86	-2877460511250
SPT(16)	2679635289474594823	0 28 36 54 78 114 124 166 168 210 220 256 280 298 306 334	-2515750210774
SPT(16)	2679636065970069443	0 6 14 18 54 84 180 186 308 314 410 440 476 480 488 494	-1739254736154
STPT(10)	2679636230242569419	0 2 48 50 90 92 132 134 180 182	-1574982236178
STPT(10)	2679637484938112297	0 2 30 32 42 44 54 56 84 86	-320286693300
SPT(16)	2679637734776200447	0 60 90 100 184 190 204 214 240 250 264 270 354 364 394 454	-70448605150
STPT(10)	2679637889319106487	0 2 30 32 72 74 114 116 144 146	84094300890
SPT(16)	2679638432722766111	0 2 80 86 90 102 116 150 182 216 230 242 246 252 330 332	627497960514
SPT(16)	2679638602865921779	0 64 70 88 130 144 148 168 214 234 238 252 294 312 318 382	797641116182
TPT(14)	2679639108222478811	0 2 78 80 138 140 168 170 276 278 300 302 318 320	1302997673214
STPT(10)	2679640223769957359	0 2 18 20 30 32 42 44 60 62	2418545151762