Prime p₀= 2344917228981430289 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: micropro
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2344915583394944533	0 28 30 36 46 88 94 136 198 240 246 288 298 304 306 334	-1645586485756
SPT(16)	2344915633953055609	0 54 118 132 138 144 150 174 208 232 238 244 250 264 328 382	-1595028374680
STPT(10)	2344915800822457349	0 2 12 14 90 92 168 170 180 182	-1428158972940
SPT(16)	2344916339762407603	0 36 58 70 76 78 106 108 208 210 238 240 246 258 280 316	-889219022686
SPT(16)	2344916394312445367	0 36 56 66 84 86 122 164 282 324 360 362 380 390 410 446	-834668984922
TPT(14)	2344916715015364559	0 2 12 14 18 20 102 104 108 110 240 242 432 434	-513966065730
TPT(14)	2344917751464782069	0 2 42 44 78 80 90 92 132 134 210 212 270 272	522483351780
SPT(16)	2344917874290640069	0 12 18 72 82 84 100 144 148 192 208 210 220 274 280 292	645309209780
STPT(10)	2344918253016030017	0 2 42 44 72 74 102 104 144 146	1024034599728
SPT(16)	2344918262768876783	0 108 158 174 206 248 260 318 326 384 396 438 470 486 536 644	1033787446494
TPT(14)	2344918333879905347	0 2 54 56 114 116 144 146 180 182 252 254 300 302	1104898475058