Prime p₀= 2768836676884455647 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2768835138782459519	0 2 48 50 90 92 132 134 180 182	-1538101996128
STPT(10)	2768835788512790387	0 2 30 32 42 44 54 56 84 86	-888371665260
SPT(16)	2768836414219720891	0 40 60 88 106 210 228 238 258 268 286 390 408 436 456 496	-262664734756
STPT(10)	2768836534556804207	0 2 60 62 72 74 84 86 144 146	-142327651440
TPT(14)	2768836551089827571	0 2 36 38 78 80 90 92 138 140 150 152 168 170	-125794628076
SPT(16)	2768836609760110573	0 4 28 46 54 106 166 204 220 258 318 370 378 396 420 424	-67124345074
STPT(10)	2768836710735191219	0 2 12 14 90 92 168 170 180 182	33850735572
TPT(14)	2768836959062475479	0 2 48 50 78 80 90 92 120 122 168 170 180 182	282178019832
STPT(12)	2768836959062475479	0 2 48 50 78 80 90 92 120 122 168 170	282178019832
STPT(10)	2768837290436835977	0 2 60 62 72 74 84 86 144 146	613552380330
TPT(14)	2768837619075722501	0 2 66 68 138 140 180 182 240 242 306 308 348 350	942191266854