Prime p₀= 2551810732207792337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=10, 2 58 2 40 2

SPT(13)	2551808712947424467	0 6 60 102 180 186 216 246 252 330 372 426 432	-2019260367870
STPT(10)	2551809533999495849	0 2 48 50 60 62 72 74 120 122	-1198208296488
SPT(16)	2551809622133019257	0 14 42 44 60 62 72 80 84 92 102 104 120 122 150 164	-1110074773080
SPT(16)	2551810055067586283	0 6 18 50 90 104 120 138 146 164 180 194 234 266 278 284	-677140206054
STPT(10)	2551810343771717261	0 2 36 38 78 80 120 122 156 158	-388436075076
SPT(16)	2551810405854514271	0 36 48 56 78 80 122 150 158 186 228 230 252 260 272 308	-326353278066
SPT(16)	2551810801569933971	0 8 42 68 152 170 198 260 348 410 438 456 540 566 600 608	69362141634
STPT(10)	2551811609119914527	0 2 12 14 42 44 72 74 84 86	876912122190
STPT(10)	2551811991743493371	0 2 6 8 48 50 90 92 96 98	1259535701034
SPT(16)	2551812344193670619	0 12 24 48 62 150 152 164 168 180 182 270 284 308 320 332	1611985878282
TPT(14)	2551813115996875061	0 2 36 38 48 50 60 62 78 80 156 158 210 212	2383789082724