Prime p₀= 2568524205947609867 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2568523431479044363	0 4 24 30 58 60 78 84 130 136 154 156 184 190 210 214	-774468565504
SPT(16)	2568523876191629297	0 2 14 30 62 104 110 126 140 156 162 204 236 252 264 266	-329755980570
SPT(16)	2568524011584999269	0 2 18 32 42 60 98 128 132 162 200 218 228 242 258 260	-194362610598
SPT(16)	2568524071948090259	0 12 48 50 68 108 132 134 168 170 194 234 252 254 290 302	-133999519608
STPT(10)	2568524091175520417	0 2 30 32 60 62 90 92 120 122	-114772089450
STPT(10)	2568524135060349041	0 2 36 38 78 80 120 122 156 158	-70887260826
SPT(16)	2568524407568678773	0 4 40 70 96 126 154 156 238 240 268 298 324 354 390 394	201621068906
STPT(10)	2568524604550722437	0 2 42 44 72 74 102 104 144 146	398603112570
STPT(10)	2568524757143419829	0 2 18 20 30 32 42 44 60 62	551195809962
STPT(10)	2568525322457484317	0 2 30 32 72 74 114 116 144 146	1116509874450
SPT(16)	2568525374654501321	0 26 50 72 80 90 120 146 156 182 212 222 230 252 276 302	1168706891454