Prime p₀= 2396213067540375761 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: Boliver
db: batch=81, k=10, 2 64 2 70 2

SPT(16)	2396211723781084463	0 14 38 60 116 126 128 140 144 156 158 168 224 246 270 284	-1343759291298
SPT(16)	2396211737844225467	0 14 20 60 66 84 116 174 176 234 266 284 290 330 336 350	-1329696150294
STPT(10)	2396212300361753477	0 2 90 92 102 104 114 116 204 206	-767178622284
TPT(14)	2396212826198834327	0 2 24 26 102 104 150 152 192 194 222 224 240 242	-241341541434
SPT(16)	2396212939855122079	0 30 60 102 150 174 178 184 228 234 238 262 310 352 382 412	-127685253682
SPT(16)	2396212951918775851	0 10 16 52 60 96 112 142 180 210 226 262 270 306 312 322	-115621599910
SPT(16)	2396213170844881667	0 42 90 116 126 132 144 146 210 212 224 230 240 266 314 356	103304505906
SPT(16)	2396213415105894259	0 12 42 54 64 82 94 120 172 198 210 228 238 250 280 292	347565518498
SPT(18)	2396213458910206237	0 16 24 42 70 96 130 154 156 220 222 246 280 306 334 352 360 376	391369830476
SPT(16)	2396213459564472733	0 6 16 48 94 106 120 136 138 154 168 180 226 258 268 274	392024096972
SPT(16)	2396213914675760447	0 6 56 92 116 120 140 144 272 276 296 300 324 360 410 416	847135384686