Prime p₀= 2768653213153124777 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

SPT(16)	2768651545916112953	0 84 126 144 236 246 290 330 374 414 458 468 560 578 620 704	-1667237011824
STPT(10)	2768651641025535017	0 2 30 32 42 44 54 56 84 86	-1572127589760
STPT(10)	2768651810767026101	0 2 30 32 78 80 126 128 156 158	-1402386098676
STPT(10)	2768652116997145427	0 2 42 44 72 74 102 104 144 146	-1096155979350
STPT(10)	2768652475060941011	0 2 6 8 48 50 90 92 96 98	-738092183766
STPT(10)	2768653207320238097	0 2 30 32 72 74 114 116 144 146	-5832886680
STPT(10)	2768653450142415851	0 2 36 38 78 80 120 122 156 158	236989291074
STPT(10)	2768653528803188357	0 2 60 62 102 104 144 146 204 206	315650063580
SPT(16)	2768654105000132249	0 18 20 62 90 108 132 158 174 200 224 242 270 312 314 332	891847007472
SPT(16)	2768654268607326107	0 30 32 56 72 86 134 156 170 192 240 254 270 294 296 326	1055454201330
TPT(14)	2768654423400734357	0 2 24 26 30 32 102 104 222 224 240 242 324 326	1210247609580