Prime p₀= 2999697352346546627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2999696018178679607	0 2 60 62 72 74 84 86 144 146	-1334167867020
SPT(16)	2999696580722528681	0 12 80 120 126 150 176 200 228 252 278 302 308 348 416 428	-771624017946
TPT(16)	2999696604888824999	0 2 30 32 42 44 72 74 90 92 210 212 252 254 270 272	-747457721628
SPT(16)	2999696756370545629	0 4 60 72 102 118 142 172 180 210 234 250 280 292 348 352	-595976000998
STPT(12)	2999696844264496469	0 2 30 32 60 62 168 170 198 200 228 230	-508082050158
STPT(10)	2999696879030121371	0 2 6 8 48 50 90 92 96 98	-473316425256
SPT(16)	2999697430866440399	0 18 44 68 104 110 144 188 210 254 288 294 330 354 380 398	78519893772
SPT(16)	2999697663168296593	0 34 54 114 138 166 180 196 228 244 258 286 310 370 390 424	310821749966
STPT(10)	2999698172981770607	0 2 12 14 42 44 72 74 84 86	820635223980
SPT(16)	2999698552315342733	0 6 36 38 50 56 78 114 140 176 198 204 216 218 248 254	1199968796106
SPT(16)	2999698577811614069	0 72 98 102 122 138 144 158 234 248 254 270 290 294 320 392	1225465067442