Prime p₀= 586971285523429559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Christos Despotakis
db: batch=71, k=10, 2 16 2 10 2

SPT(14)	586971196627912469	0 20 62 72 80 132 182 192 242 294 302 312 354 374	-88895517090
SPT(16)	586971253990089817	0 24 34 72 76 114 136 154 192 210 232 270 274 312 322 346	-31533339742
SPT(14)	586971256845544559	0 18 62 84 132 140 158 174 192 200 248 270 314 332	-28677885000
SPT(14)	586971260285272147	0 46 82 96 120 132 162 214 244 256 280 294 330 376	-25238157412
SPT(14)	586971268809636149	0 18 20 48 84 132 158 174 200 248 284 312 314 332	-16713793410
TPT(12)	586971279724593761	0 2 30 32 90 92 96 98 240 242 270 272	-5798835798
SPT(14)	586971296816300689	0 12 28 52 82 90 100 150 160 168 198 222 238 250	11292871130
SPT(14)	586971312116660741	0 30 72 78 96 128 152 186 210 242 260 266 308 338	26593231182
TPT(12)	586971312727117709	0 2 72 74 108 110 150 152 222 224 312 314	27203688150
SPT(18)	586971321524534783	0 6 14 20 50 56 78 84 96 128 140 146 168 174 204 210 218 224	36001105224
SPT(14)	586971332545094561	0 18 38 42 50 72 78 80 86 108 116 120 140 158	47021665002