Prime p₀= 1275231315904783379 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: Theadalus
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1275230321277458719	0 10 18 28 34 40 60 144 154 238 258 264 270 280 288 298	-994627324660
SPT(16)	1275230578988018171	0 12 18 26 32 38 80 110 198 228 270 276 282 290 296 308	-736916765208
SPT(16)	1275230581315982903	0 24 50 78 84 98 120 126 128 134 156 170 176 204 230 254	-734588800476
SPT(16)	1275230583788243123	0 6 38 54 96 98 104 116 138 150 156 158 200 216 248 254	-732116540256
SPT(16)	1275230871760455457	0 24 30 46 66 136 144 150 226 232 240 310 330 346 352 376	-444144327922
SPT(18)	1275230963030654879	0 18 32 42 72 90 104 110 134 138 162 168 182 200 230 240 254 272	-352874128500
SPT(16)	1275231696260957987	0 12 26 44 80 164 170 180 266 276 282 366 402 420 434 446	380356174608
STPT(10)	1275231906332603897	0 2 12 14 42 44 72 74 84 86	590427820518
SPT(16)	1275232077604739677	0 36 40 66 82 90 106 112 120 126 142 150 166 192 196 232	761699956298
SPT(16)	1275232079246659279	0 22 30 70 78 118 130 172 228 270 282 322 330 370 378 400	763341875900
SPT(16)	1275232136663414653	0 10 16 36 66 118 150 184 300 334 366 418 448 468 474 484	820758631274