Prime p₀= 1245298231254549839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 10 2 76 2

TPT(14)	1245296387657008031	0 2 48 50 78 80 120 122 288 290 426 428 468 470	-1843597541808
SPT(16)	1245296711839954621	0 52 60 78 100 106 172 210 298 336 402 408 430 448 456 508	-1519414595218
SPT(16)	1245296913463298711	0 12 30 42 72 108 140 152 156 168 200 236 266 278 296 308	-1317791251128
SPT(16)	1245297228577554223	0 30 78 88 96 120 144 166 168 190 214 238 246 256 304 334	-1002676995616
STPT(10)	1245297563656927367	0 2 30 32 72 74 114 116 144 146	-667597622472
SPT(16)	1245297709018894649	0 2 30 72 74 132 138 200 252 314 320 378 380 422 450 452	-522235655190
STPT(10)	1245298287328166051	0 2 36 38 78 80 120 122 156 158	56073616212
STPT(10)	1245299394121793609	0 2 18 20 30 32 42 44 60 62	1162867243770
STPT(10)	1245299607072928607	0 2 30 32 72 74 114 116 144 146	1375818378768
SPT(16)	1245299903727128203	0 28 36 40 70 106 114 120 184 190 198 234 264 268 276 304	1672472578364
STPT(10)	1245299954652116567	0 2 12 14 42 44 72 74 84 86	1723397566728