Prime p₀= 2044716829233115949 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: arkiss
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2044714903840818059	0 2 30 32 42 44 102 104 132 134 168 170 180 182	-1925392297890
SPT(16)	2044714971633347879	0 24 68 90 92 108 120 134 138 152 164 180 182 204 248 272	-1857599768070
SPT(16)	2044715419626880543	0 34 36 54 60 90 126 144 190 208 244 274 280 298 300 334	-1409606235406
TPT(14)	2044715850820867949	0 2 18 20 30 32 60 62 72 74 102 104 270 272	-978412248000
SPT(16)	2044715970291847991	0 20 48 78 80 92 152 218 222 288 348 360 362 392 420 440	-858941267958
SPT(16)	2044716603452216809	0 34 42 64 82 84 90 108 124 142 148 150 168 190 198 232	-225780899140
SPT(16)	2044716922668871799	0 78 90 132 138 150 162 200 462 500 512 524 530 572 584 662	93435755850
TPT(14)	2044717424361314069	0 2 42 44 48 50 90 92 108 110 132 134 168 170	595128198120
STPT(10)	2044717457480725847	0 2 30 32 42 44 54 56 84 86	628247609898
STPT(10)	2044717641780835919	0 2 18 20 30 32 42 44 60 62	812547719970
TPT(14)	2044718034496310477	0 2 12 14 42 44 192 194 234 236 252 254 384 386	1205263194528