Prime p₀= 2827166287663686929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 130 2 130 2 76 2 (?)
a_n: 0 2 78 80 210 212 342 344 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=10, 2 76 2 130 2

SPT(16)	2827165285781878009	0 12 22 40 42 48 82 114 118 150 184 190 192 210 220 232	-1001881808920
STPT(10)	2827165474564050797	0 2 90 92 102 104 114 116 204 206	-813099636132
SPT(16)	2827165685719018157	0 56 170 180 204 254 260 336 374 450 456 506 530 540 654 710	-601944668772
SPT(16)	2827166139374495437	0 22 36 82 120 124 142 162 214 234 252 256 294 340 354 376	-148289191492
STPT(10)	2827166154976929581	0 2 6 8 48 50 90 92 96 98	-132686757348
STPT(10)	2827166243235442907	0 2 30 32 42 44 54 56 84 86	-44428244022
STPT(10)	2827166477131382927	0 2 30 32 72 74 114 116 144 146	189467695998
STPT(10)	2827166636889097367	0 2 42 44 72 74 102 104 144 146	349225410438
SPT(16)	2827166828762568343	0 10 16 18 30 34 46 88 156 198 210 214 226 228 234 244	541098881414
SPT(16)	2827167117430308217	0 10 12 52 76 90 136 154 192 210 256 270 294 334 336 346	829766621288
STPT(10)	2827167459543987137	0 2 30 32 42 44 54 56 84 86	1171880300208