Prime p₀= 1164214739770896017 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: Theadalus
db: batch=77, k=10, 2 10 2 28 2

TPT(14)	1164214091852089247	0 2 60 62 144 146 222 224 270 272 300 302 324 326	-647918806770
STPT(10)	1164214505531361371	0 2 6 8 48 50 90 92 96 98	-234239534646
STPT(10)	1164214526919386651	0 2 36 38 78 80 120 122 156 158	-212851509366
SPT(16)	1164214554177423127	0 16 30 46 54 114 126 184 192 250 262 322 330 346 360 376	-185593472890
SPT(16)	1164214576917885511	0 18 58 72 90 96 142 162 166 186 232 238 256 270 310 328	-162853010506
SPT(16)	1164214619505417133	0 10 16 40 54 66 70 96 154 180 184 196 210 234 240 250	-120265478884
SPT(16)	1164214880612114677	0 30 34 100 120 126 136 154 162 180 190 196 216 282 286 316	140841218660
STPT(10)	1164215057866336907	0 2 30 32 72 74 114 116 144 146	318095440890
STPT(10)	1164215120151339437	0 2 24 26 42 44 60 62 84 86	380380443420
TPT(14)	1164215266361053721	0 2 126 128 246 248 306 308 330 332 336 338 390 392	526590157704
SPT(16)	1164215553340696561	0 40 66 118 136 138 148 180 328 360 370 372 390 442 468 508	813569800544