Prime p₀= 2351556473382547799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2351554247270822651	0 2 30 32 78 80 126 128 156 158	-2226111725148
TPT(14)	2351554328136464291	0 2 78 80 156 158 348 350 360 362 408 410 450 452	-2145246083508
STPT(10)	2351554798173838529	0 2 18 20 30 32 42 44 60 62	-1675208709270
STPT(10)	2351554913217421661	0 2 36 38 78 80 120 122 156 158	-1560165126138
STPT(10)	2351555866314165521	0 2 6 8 48 50 90 92 96 98	-607068382278
STPT(12)	2351555957003324957	0 2 30 32 42 44 72 74 84 86 114 116	-516379222842
SPT(16)	2351556684891158539	0 34 42 58 78 120 124 132 190 198 202 244 264 280 288 322	211508610740
SPT(16)	2351556732517460459	0 62 80 84 98 132 144 150 182 188 200 234 248 252 270 332	259134912660
SPT(16)	2351556831958300259	0 2 14 20 128 140 150 168 194 212 222 234 342 348 360 362	358575752460
STPT(10)	2351557159127422031	0 2 36 38 78 80 120 122 156 158	685744874232
STPT(10)	2351557342477573169	0 2 42 44 60 62 78 80 120 122	869095025370