Prime p₀= 2768654432942808437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

STPT(10)	2768653213153124777	0 2 30 32 42 44 54 56 84 86	-1219789683660
STPT(10)	2768653450142415851	0 2 36 38 78 80 120 122 156 158	-982800392586
STPT(10)	2768653528803188357	0 2 60 62 102 104 144 146 204 206	-904139620080
SPT(16)	2768654105000132249	0 18 20 62 90 108 132 158 174 200 224 242 270 312 314 332	-327942676188
SPT(16)	2768654268607326107	0 30 32 56 72 86 134 156 170 192 240 254 270 294 296 326	-164335482330
TPT(14)	2768654423400734357	0 2 24 26 30 32 102 104 222 224 240 242 324 326	-9542074080
STPT(10)	2768654914626137321	0 2 36 38 78 80 120 122 156 158	481683328884
SPT(16)	2768655096967607629	0 12 82 88 144 192 234 244 348 358 400 448 504 510 580 592	664024799192
STPT(10)	2768655152229721829	0 2 42 44 90 92 138 140 180 182	719286913392
STPT(10)	2768655206880081887	0 2 30 32 42 44 54 56 84 86	773937273450
SPT(16)	2768655242552013137	0 12 32 42 66 74 92 182 204 294 312 320 344 354 374 386	809609204700