Prime p₀= 1245298287328166051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1245296711839954621	0 52 60 78 100 106 172 210 298 336 402 408 430 448 456 508	-1575488211430
SPT(16)	1245296913463298711	0 12 30 42 72 108 140 152 156 168 200 236 266 278 296 308	-1373864867340
SPT(16)	1245297228577554223	0 30 78 88 96 120 144 166 168 190 214 238 246 256 304 334	-1058750611828
STPT(10)	1245297563656927367	0 2 30 32 72 74 114 116 144 146	-723671238684
SPT(16)	1245297709018894649	0 2 30 72 74 132 138 200 252 314 320 378 380 422 450 452	-578309271402
STPT(10)	1245298231254549839	0 2 12 14 90 92 168 170 180 182	-56073616212
STPT(10)	1245299394121793609	0 2 18 20 30 32 42 44 60 62	1106793627558
STPT(10)	1245299607072928607	0 2 30 32 72 74 114 116 144 146	1319744762556
SPT(16)	1245299903727128203	0 28 36 40 70 106 114 120 184 190 198 234 264 268 276 304	1616398962152
STPT(10)	1245299954652116567	0 2 12 14 42 44 72 74 84 86	1667323950516
TPT(14)	1245300120759643127	0 2 54 56 312 314 342 344 420 422 450 452 462 464	1833431477076