Prime p₀= 2827165028167516649 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-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(13)	2827163333659806221	0 6 48 66 78 90 108 126 138 150 168 210 216	-1694507710428
SPT(16)	2827163350770215531	0 2 6 12 32 62 92 116 156 180 210 240 260 266 270 272	-1677397301118
STPT(10)	2827163837410584569	0 2 18 20 30 32 42 44 60 62	-1190756932080
TPT(14)	2827164259542120809	0 2 48 50 108 110 150 152 180 182 192 194 210 212	-768625395840
STPT(10)	2827164774598784027	0 2 90 92 102 104 114 116 204 206	-253568732622
SPT(16)	2827164968923655747	0 14 32 36 56 74 116 132 134 150 192 210 230 234 252 266	-59243860902
SPT(16)	2827165285781878009	0 12 22 40 42 48 82 114 118 150 184 190 192 210 220 232	257614361360
STPT(10)	2827165474564050797	0 2 90 92 102 104 114 116 204 206	446396534148
SPT(16)	2827165685719018157	0 56 170 180 204 254 260 336 374 450 456 506 530 540 654 710	657551501508
SPT(16)	2827166139374495437	0 22 36 82 120 124 142 162 214 234 252 256 294 340 354 376	1111206978788
STPT(10)	2827166154976929581	0 2 6 8 48 50 90 92 96 98	1126809412932