Prime p₀= 2562670626983747381 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 118 2 118 2 46 2 (?)
a_n: 0 2 48 50 168 170 288 290 336 338
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: 338
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 46 2 118 2

SPT(16)	2562668937626672807	0 66 102 114 140 150 164 170 186 192 206 216 242 254 290 356	-1689357074574
STPT(12)	2562669451790653559	0 2 30 32 48 50 180 182 198 200 228 230	-1175193093822
TPT(14)	2562669763735079267	0 2 12 14 84 86 90 92 150 152 174 176 192 194	-863248668114
SPT(16)	2562669974786074963	0 90 118 124 150 174 210 238 276 304 340 364 390 396 424 514	-652197672418
SPT(16)	2562670295709070661	0 2 72 80 98 108 126 132 206 212 230 240 258 266 336 338	-331274676720
SPT(16)	2562670396188907321	0 10 36 52 76 130 150 160 162 172 192 246 270 286 312 322	-230794840060
STPT(10)	2562671281152718259	0 2 18 20 30 32 42 44 60 62	654168970878
SPT(16)	2562671307362524129	0 22 24 94 100 202 220 258 304 342 360 462 468 538 540 562	680378776748
SPT(16)	2562671589964557089	0 2 14 42 72 84 98 110 162 174 188 200 230 258 270 272	962980809708
SPT(16)	2562671595545906137	0 66 72 100 112 132 166 184 192 210 244 264 276 304 310 376	968562158756
TPT(14)	2562671612117487971	0 2 6 8 36 38 78 80 240 242 378 380 438 440	985133740590