Prime p₀= 2562568021036767827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2562566493636531959	0 2 30 38 108 134 140 150 152 162 168 194 264 272 300 302	-1527400235868
TPT(14)	2562566605288759841	0 2 30 32 48 50 90 92 120 122 198 200 228 230	-1415748007986
STPT(10)	2562566694111589349	0 2 30 32 60 62 90 92 120 122	-1326925178478
SPT(16)	2562567243676683829	0 88 172 180 204 208 238 264 328 354 384 388 412 420 504 592	-777360083998
STPT(10)	2562567472042595999	0 2 18 20 60 62 102 104 120 122	-548994171828
STPT(10)	2562567618118448387	0 2 42 44 72 74 102 104 144 146	-402918319440
SPT(16)	2562568032088079623	0 28 48 124 126 138 160 180 214 234 256 268 270 346 366 394	11051311796
TPT(14)	2562568296697835939	0 2 30 32 42 44 120 122 162 164 240 242 300 302	275661068112
SPT(16)	2562568550639380939	0 18 28 42 54 64 84 102 130 148 168 178 190 204 214 232	529602613112
SPT(16)	2562568978334911913	0 14 50 56 78 104 110 170 174 234 240 266 288 294 330 344	957298144086
STPT(10)	2562569000399161067	0 2 30 32 72 74 114 116 144 146	979362393240