Prime p₀= 3031168566972145151 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: [SG-FC] hl
db: batch=82, k=10, 2 64 2 70 2

STPT(10)	3031165809233310779	0 2 30 32 60 62 90 92 120 122	-2757738834372
STPT(10)	3031166476950664397	0 2 42 44 72 74 102 104 144 146	-2090021480754
SPT(16)	3031166863859974969	0 34 48 52 54 78 82 112 120 150 154 178 180 184 198 232	-1703112170182
STPT(10)	3031167232753168697	0 2 24 26 42 44 60 62 84 86	-1334218976454
STPT(10)	3031167343234963277	0 2 42 44 72 74 102 104 144 146	-1223737181874
SPT(16)	3031167914915825693	0 8 56 140 170 180 246 276 308 338 404 414 444 528 576 584	-652056319458
SPT(16)	3031169419547039293	0 18 28 34 78 124 144 174 334 364 384 430 474 480 490 508	852574894142
SPT(16)	3031169940250981787	0 20 44 86 90 126 234 294 362 422 530 566 570 612 636 656	1373278836636
SPT(16)	3031170233705181773	0 6 20 44 86 108 128 150 164 186 206 228 270 294 308 314	1666733036622
SPT(16)	3031170289996295443	0 96 100 168 198 210 226 276 280 330 346 358 388 456 460 556	1723024150292
STPT(10)	3031170484742182709	0 2 12 14 90 92 168 170 180 182	1917770037558