Prime p₀= 2402586389184503957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2402584854322289017	0 10 52 54 124 162 192 250 264 322 352 390 460 462 504 514	-1534862214940
STPT(10)	2402585136513680717	0 2 30 32 42 44 54 56 84 86	-1252670823240
STPT(10)	2402585165266951667	0 2 30 32 60 62 90 92 120 122	-1223917552290
SPT(16)	2402585309943339233	0 26 38 48 56 60 66 126 128 188 194 198 206 216 228 254	-1079241164724
STPT(10)	2402586255443240297	0 2 54 56 72 74 90 92 144 146	-133741263660
STPT(10)	2402586258573734669	0 2 42 44 60 62 78 80 120 122	-130610769288
SPT(16)	2402586503810302939	0 28 72 90 108 142 148 162 238 252 258 292 310 328 372 400	114625798982
STPT(10)	2402586716415988901	0 2 66 68 138 140 210 212 276 278	327231484944
SPT(16)	2402586824778704197	0 100 102 130 166 214 216 232 264 280 282 330 366 394 396 496	435594200240
SPT(16)	2402587482318606361	0 22 58 60 130 232 238 270 328 360 366 468 538 540 576 598	1093134102404
SPT(16)	2402587711906135301	0 20 32 42 78 132 140 162 188 210 218 272 308 318 330 350	1322721631344