Prime p₀= 2999699651838421967 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)	2999698552315342733	0 6 36 38 50 56 78 114 140 176 198 204 216 218 248 254	-1099523079234
SPT(16)	2999698577811614069	0 72 98 102 122 138 144 158 234 248 254 270 290 294 320 392	-1074026807898
STPT(10)	2999698737586281959	0 2 42 44 90 92 138 140 180 182	-914252140008
SPT(16)	2999699215639775641	0 12 40 48 58 72 90 142 168 220 238 252 262 270 298 310	-436198646326
SPT(16)	2999699405095387097	0 102 104 164 174 206 230 266 270 306 330 362 372 432 434 536	-246743034870
TPT(14)	2999699462477193809	0 2 12 14 48 50 90 92 132 134 210 212 222 224	-189361228158
SPT(16)	2999699653022303107	0 16 24 120 162 172 184 220 246 282 294 304 346 442 450 466	1183881140
SPT(16)	2999700004842444373	0 4 10 70 84 88 100 136 228 264 276 280 294 354 360 364	353004022406
SPT(16)	2999700143027617639	0 4 70 78 82 84 102 108 124 130 148 150 154 162 228 232	491189195672
SPT(16)	2999700579360816209	0 2 14 30 32 68 90 114 158 182 204 240 242 258 270 272	927522394242
SPT(16)	2999700596060791109	0 12 48 78 114 168 174 188 204 218 224 278 314 344 380 392	944222369142