Prime p₀= 749604677162881121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 136 2 136 2 28 2 (?)
a_n: 0 2 30 32 168 170 306 308 336 338
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: 338
Found by: Theadalus
db: batch=73, k=10, 2 28 2 136 2

SPT(16)	749603754921871987	0 40 60 70 76 82 96 186 196 286 300 306 312 322 342 382	-922241009134
SPT(16)	749603839016982863	0 44 104 114 156 170 188 216 218 246 264 278 320 330 390 434	-838145898258
SPT(16)	749604288530058431	0 38 126 156 186 200 276 326 330 380 456 470 500 530 618 656	-388632822690
STPT(10)	749604441208967081	0 2 48 50 108 110 168 170 216 218	-235953914040
STPT(12)	749604575308535249	0 2 30 32 42 44 78 80 90 92 120 122	-101854345872
STPT(10)	749604632417272979	0 2 42 44 90 92 138 140 180 182	-44745608142
STPT(10)	749604774389295467	0 2 24 26 42 44 60 62 84 86	97226414346
SPT(16)	749605021713265147	0 34 66 72 82 126 154 156 160 162 190 234 244 250 282 316	344550384026
SPT(16)	749605210630429757	0 36 42 80 86 92 120 146 270 296 324 330 336 374 380 416	533467548636
SPT(16)	749605233587900449	0 22 42 48 100 112 172 180 190 198 258 270 322 328 348 370	556425019328
SPT(16)	749605430937080987	0 14 20 54 66 80 104 114 206 216 240 254 266 300 306 320	753774199866