Prime p₀= 2678461856833118957 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)	2678460853806406211	0 2 6 8 48 50 90 92 96 98	-1003026712746
SPT(16)	2678460948206253701	0 56 78 80 110 128 206 218 228 240 318 336 366 368 390 446	-908626865256
STPT(10)	2678461181544609047	0 2 30 32 72 74 114 116 144 146	-675288509910
TPT(14)	2678461314907930061	0 2 30 32 108 110 180 182 210 212 228 230 306 308	-541925188896
STPT(10)	2678461442990516789	0 2 48 50 90 92 132 134 180 182	-413842602168
STPT(10)	2678461659364863011	0 2 6 8 48 50 90 92 96 98	-197468255946
STPT(10)	2678462019710295389	0 2 18 20 30 32 42 44 60 62	162877176432
SPT(16)	2678462020982442059	0 2 18 32 54 150 164 170 192 198 212 308 330 344 360 362	164149323102
SPT(16)	2678462467244967743	0 8 30 54 86 104 156 170 264 278 330 348 380 404 426 434	610411848786
SPT(16)	2678462691431694347	0 140 206 230 234 306 336 362 384 410 440 512 516 540 606 746	834598575390
STPT(10)	2678462849074587317	0 2 30 32 42 44 54 56 84 86	992241468360