Prime p₀= 2899690408629650021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: [SG-FC] hl
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2899688507207072521	0 12 30 52 70 90 96 100 132 136 142 162 180 202 220 232	-1901422577500
SPT(16)	2899688769765322697	0 26 44 74 86 110 134 144 152 162 186 210 222 252 270 296	-1638864327324
TPT(14)	2899689592684876931	0 2 18 20 36 38 90 92 168 170 186 188 300 302	-815944773090
SPT(16)	2899689670212473273	0 14 48 78 80 90 116 134 300 318 344 354 356 386 420 434	-738417176748
SPT(16)	2899689840109501079	0 2 42 60 90 114 120 144 158 182 188 212 242 260 300 302	-568520148942
SPT(16)	2899689949947724273	0 28 54 58 70 124 168 196 228 256 300 354 366 370 396 424	-458681925748
STPT(10)	2899690630140883169	0 2 48 50 90 92 132 134 180 182	221511233148
TPT(14)	2899690728960533657	0 2 84 86 114 116 144 146 162 164 204 206 240 242	320330883636
SPT(16)	2899690802616171427	0 30 42 76 84 136 154 156 160 162 180 232 240 274 286 316	393986521406
SPT(16)	2899691279826592397	0 44 72 102 116 126 146 170 186 210 230 240 254 284 312 356	871196942376
SPT(16)	2899691951496595553	0 8 48 74 78 104 114 140 258 284 294 320 324 350 390 398	1542866945532