Prime p₀= 2531291078397494867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2531288647345807801	0 12 22 88 100 102 130 132 238 240 268 270 282 348 358 370	-2431051687066
STPT(10)	2531289255050633237	0 2 30 32 42 44 54 56 84 86	-1823346861630
STPT(10)	2531289644188915661	0 2 6 8 18 20 30 32 36 38	-1434208579206
STPT(10)	2531290432172064371	0 2 6 8 48 50 90 92 96 98	-646225430496
SPT(16)	2531290593178389689	0 12 38 50 62 78 92 98 132 138 152 168 180 192 218 230	-485219105178
STPT(10)	2531290815657722939	0 2 42 44 60 62 78 80 120 122	-262739771928
SPT(16)	2531291117407903699	0 30 70 78 120 184 190 234 244 288 294 358 400 408 448 478	39010408832
SPT(16)	2531291585680789279	0 34 64 78 84 88 138 144 148 154 204 208 214 228 258 292	507283294412
STPT(10)	2531291748343161647	0 2 30 32 42 44 54 56 84 86	669945666780
SPT(16)	2531291853874898747	0 20 24 44 90 92 150 180 374 404 462 464 510 530 534 554	775477403880
STPT(10)	2531292093938631839	0 2 12 14 30 32 48 50 60 62	1015541136972