Prime p₀= 2551810343771717261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2551808578966084897	0 70 82 96 112 186 216 226 240 250 280 354 370 384 396 466	-1764805632364
TPT(16)	2551808639421000887	0 2 12 14 90 92 102 104 132 134 210 212 222 224 300 302	-1704350716374
SPT(13)	2551808712947424467	0 6 60 102 180 186 216 246 252 330 372 426 432	-1630824292794
STPT(10)	2551809533999495849	0 2 48 50 60 62 72 74 120 122	-809772221412
SPT(16)	2551809622133019257	0 14 42 44 60 62 72 80 84 92 102 104 120 122 150 164	-721638698004
SPT(16)	2551810055067586283	0 6 18 50 90 104 120 138 146 164 180 194 234 266 278 284	-288704130978
SPT(16)	2551810405854514271	0 36 48 56 78 80 122 150 158 186 228 230 252 260 272 308	62082797010
STPT(10)	2551810732207792337	0 2 60 62 102 104 144 146 204 206	388436075076
SPT(16)	2551810801569933971	0 8 42 68 152 170 198 260 348 410 438 456 540 566 600 608	457798216710
STPT(10)	2551811609119914527	0 2 12 14 42 44 72 74 84 86	1265348197266
STPT(10)	2551811991743493371	0 2 6 8 48 50 90 92 96 98	1647971776110