Prime p₀= 2563346400690229769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2563344556270858823	0 24 36 38 50 56 68 78 116 126 138 144 156 158 170 194	-1844419370946
SPT(16)	2563344565759685549	0 8 50 62 84 132 140 144 248 252 260 308 330 342 384 392	-1834930544220
SPT(16)	2563344657681828451	0 16 18 46 58 60 106 126 142 162 208 210 222 250 252 268	-1743008401318
STPT(10)	2563345519944214301	0 2 6 8 18 20 30 32 36 38	-880746015468
STPT(10)	2563345729250001467	0 2 30 32 72 74 114 116 144 146	-671440228302
STPT(10)	2563345810553404031	0 2 126 128 138 140 150 152 276 278	-590136825738
SPT(16)	2563347110576392241	0 6 30 50 56 80 122 126 212 216 258 282 288 308 332 338	709886162472
STPT(10)	2563347176553420041	0 2 36 38 78 80 120 122 156 158	775863190272
STPT(10)	2563347192951486839	0 2 18 20 30 32 42 44 60 62	792261257070
SPT(16)	2563347543296958359	0 18 42 44 60 68 78 84 128 134 144 152 168 170 194 212	1142606728590
STPT(10)	2563347645074372207	0 2 42 44 102 104 162 164 204 206	1244384142438