Prime p₀= 2566033034823622979 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2566030772425364333	0 8 20 74 84 110 134 144 224 234 258 284 294 348 360 368	-2262398258646
SPT(16)	2566031303961539363	0 6 8 56 78 104 108 204 290 386 390 416 438 486 488 494	-1730862083616
SPT(16)	2566031823689872333	0 4 34 46 60 66 76 78 136 138 148 154 168 180 210 214	-1211133750646
STPT(10)	2566032022702782329	0 2 48 50 90 92 132 134 180 182	-1012120840650
SPT(16)	2566032331994170357	0 6 42 70 94 126 136 154 162 180 190 222 246 274 310 316	-702829452622
STPT(10)	2566032997284589709	0 2 30 32 60 62 90 92 120 122	-37539033270
SPT(16)	2566033239433937237	0 2 6 42 66 186 200 206 216 222 236 356 380 416 420 422	204610314258
SPT(16)	2566033435130410433	0 14 38 96 128 140 146 188 216 258 264 276 308 366 390 404	400306787454
SPT(16)	2566033552402987279	0 12 64 78 84 118 130 162 340 372 384 418 424 438 490 502	517579364300
SPT(18)	2566033776197689351	0 16 28 42 58 136 232 280 288 310 318 366 462 540 556 570 582 598	741374066372
SPT(16)	2566033812628785497	0 32 42 60 162 194 206 242 294 330 342 374 476 494 504 536	777805162518